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Finding the Fourth Proportional to 587,414.30, 880,137.30 and 502,777.40

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Solution

The fourth proportional to 587,414.30, 880,137.30 and 502,777.40 is: 753,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,414.30 : 880,137.30 = 502,777.40 : x
  2. Step 2: Convert to fraction form
    587,414.30/880,137.30 = 502,777.40/x
  3. Step 3: Cross multiply
    587,414.30x = 880,137.30 × 502,777.40
  4. Step 4: Simplify right side
    587,414.30x = 442,513,143,337.02
  5. Step 5: Solve for x
    x = 442,513,143,337.02/587,414.30
  6. Step 6: Final answer
    x = 753,323.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.