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Finding the Fourth Proportional to 338,073.67, 506,381.46 and 318,200.14

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Solution

The fourth proportional to 338,073.67, 506,381.46 and 318,200.14 is: 476,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,073.67 : 506,381.46 = 318,200.14 : x
  2. Step 2: Convert to fraction form
    338,073.67/506,381.46 = 318,200.14/x
  3. Step 3: Cross multiply
    338,073.67x = 506,381.46 × 318,200.14
  4. Step 4: Simplify right side
    338,073.67x = 161,130,651,465.40
  5. Step 5: Solve for x
    x = 161,130,651,465.40/338,073.67
  6. Step 6: Final answer
    x = 476,614.02

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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.