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Finding the Fourth Proportional to 320,907.66, 442,899.20 and 184,915.14

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Solution

The fourth proportional to 320,907.66, 442,899.20 and 184,915.14 is: 255,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,907.66 : 442,899.20 = 184,915.14 : x
  2. Step 2: Convert to fraction form
    320,907.66/442,899.20 = 184,915.14/x
  3. Step 3: Cross multiply
    320,907.66x = 442,899.20 × 184,915.14
  4. Step 4: Simplify right side
    320,907.66x = 81,898,768,036.18
  5. Step 5: Solve for x
    x = 81,898,768,036.18/320,907.66
  6. Step 6: Final answer
    x = 255,209.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.