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Finding the Fourth Proportional to 497,244.60, 686,173.68 and 282,356.28

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Solution

The fourth proportional to 497,244.60, 686,173.68 and 282,356.28 is: 389,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,244.60 : 686,173.68 = 282,356.28 : x
  2. Step 2: Convert to fraction form
    497,244.60/686,173.68 = 282,356.28/x
  3. Step 3: Cross multiply
    497,244.60x = 686,173.68 × 282,356.28
  4. Step 4: Simplify right side
    497,244.60x = 193,745,447,718.71
  5. Step 5: Solve for x
    x = 193,745,447,718.71/497,244.60
  6. Step 6: Final answer
    x = 389,638.11

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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.