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Finding the Fourth Proportional to 497,518.69, 686,594.33 and 282,695.17

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Solution

The fourth proportional to 497,518.69, 686,594.33 and 282,695.17 is: 390,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,518.69 : 686,594.33 = 282,695.17 : x
  2. Step 2: Convert to fraction form
    497,518.69/686,594.33 = 282,695.17/x
  3. Step 3: Cross multiply
    497,518.69x = 686,594.33 × 282,695.17
  4. Step 4: Simplify right side
    497,518.69x = 194,096,900,840.39
  5. Step 5: Solve for x
    x = 194,096,900,840.39/497,518.69
  6. Step 6: Final answer
    x = 390,129.87

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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.