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Finding the Fourth Proportional to 687,356.39, 948,969.10 and 534,105.10

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Solution

The fourth proportional to 687,356.39, 948,969.10 and 534,105.10 is: 737,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,356.39 : 948,969.10 = 534,105.10 : x
  2. Step 2: Convert to fraction form
    687,356.39/948,969.10 = 534,105.10/x
  3. Step 3: Cross multiply
    687,356.39x = 948,969.10 × 534,105.10
  4. Step 4: Simplify right side
    687,356.39x = 506,849,237,906.25
  5. Step 5: Solve for x
    x = 506,849,237,906.25/687,356.39
  6. Step 6: Final answer
    x = 737,389.28

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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.