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Finding the Fourth Proportional to 508,402.90, 701,304.51 and 317,084.14

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Solution

The fourth proportional to 508,402.90, 701,304.51 and 317,084.14 is: 437,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,402.90 : 701,304.51 = 317,084.14 : x
  2. Step 2: Convert to fraction form
    508,402.90/701,304.51 = 317,084.14/x
  3. Step 3: Cross multiply
    508,402.90x = 701,304.51 × 317,084.14
  4. Step 4: Simplify right side
    508,402.90x = 222,372,537,431.47
  5. Step 5: Solve for x
    x = 222,372,537,431.47/508,402.90
  6. Step 6: Final answer
    x = 437,394.31

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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.