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Finding the Fourth Proportional to 497,952.58, 687,232.65 and 283,124.83

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Solution

The fourth proportional to 497,952.58, 687,232.65 and 283,124.83 is: 390,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,952.58 : 687,232.65 = 283,124.83 : x
  2. Step 2: Convert to fraction form
    497,952.58/687,232.65 = 283,124.83/x
  3. Step 3: Cross multiply
    497,952.58x = 687,232.65 × 283,124.83
  4. Step 4: Simplify right side
    497,952.58x = 194,572,627,201.70
  5. Step 5: Solve for x
    x = 194,572,627,201.70/497,952.58
  6. Step 6: Final answer
    x = 390,745.29

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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.