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Finding the Fourth Proportional to 312,368.53, 468,598.58 and 99,065.29

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Solution

The fourth proportional to 312,368.53, 468,598.58 and 99,065.29 is: 148,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.53 : 468,598.58 = 99,065.29 : x
  2. Step 2: Convert to fraction form
    312,368.53/468,598.58 = 99,065.29/x
  3. Step 3: Cross multiply
    312,368.53x = 468,598.58 × 99,065.29
  4. Step 4: Simplify right side
    312,368.53x = 46,421,854,602.86
  5. Step 5: Solve for x
    x = 46,421,854,602.86/312,368.53
  6. Step 6: Final answer
    x = 148,612.46

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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.