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Finding the Fourth Proportional to 312,922.41, 469,196.16 and 99,598.17

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Solution

The fourth proportional to 312,922.41, 469,196.16 and 99,598.17 is: 149,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,922.41 : 469,196.16 = 99,598.17 : x
  2. Step 2: Convert to fraction form
    312,922.41/469,196.16 = 99,598.17/x
  3. Step 3: Cross multiply
    312,922.41x = 469,196.16 × 99,598.17
  4. Step 4: Simplify right side
    312,922.41x = 46,731,078,907.03
  5. Step 5: Solve for x
    x = 46,731,078,907.03/312,922.41
  6. Step 6: Final answer
    x = 149,337.59

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.