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Finding the Fourth Proportional to 424,591.34, 585,445.14 and 338,483.00

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Solution

The fourth proportional to 424,591.34, 585,445.14 and 338,483.00 is: 466,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,591.34 : 585,445.14 = 338,483.00 : x
  2. Step 2: Convert to fraction form
    424,591.34/585,445.14 = 338,483.00/x
  3. Step 3: Cross multiply
    424,591.34x = 585,445.14 × 338,483.00
  4. Step 4: Simplify right side
    424,591.34x = 198,163,224,395.39
  5. Step 5: Solve for x
    x = 198,163,224,395.39/424,591.34
  6. Step 6: Final answer
    x = 466,715.19

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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.