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Finding the Fourth Proportional to 497,497.88, 686,565.42 and 282,674.54

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Solution

The fourth proportional to 497,497.88, 686,565.42 and 282,674.54 is: 390,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,497.88 : 686,565.42 = 282,674.54 : x
  2. Step 2: Convert to fraction form
    497,497.88/686,565.42 = 282,674.54/x
  3. Step 3: Cross multiply
    497,497.88x = 686,565.42 × 282,674.54
  4. Step 4: Simplify right side
    497,497.88x = 194,074,564,278.41
  5. Step 5: Solve for x
    x = 194,074,564,278.41/497,497.88
  6. Step 6: Final answer
    x = 390,101.29

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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.