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Finding the Fourth Proportional to 497,578.68, 686,658.72 and 282,719.04

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Solution

The fourth proportional to 497,578.68, 686,658.72 and 282,719.04 is: 390,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,578.68 : 686,658.72 = 282,719.04 : x
  2. Step 2: Convert to fraction form
    497,578.68/686,658.72 = 282,719.04/x
  3. Step 3: Cross multiply
    497,578.68x = 686,658.72 × 282,719.04
  4. Step 4: Simplify right side
    497,578.68x = 194,131,494,126.03
  5. Step 5: Solve for x
    x = 194,131,494,126.03/497,578.68
  6. Step 6: Final answer
    x = 390,152.36

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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.