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Finding the Fourth Proportional to 588,439.32, 809,498 and 515,513.80

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Solution

The fourth proportional to 588,439.32, 809,498 and 515,513.80 is: 709,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,439.32 : 809,498 = 515,513.80 : x
  2. Step 2: Convert to fraction form
    588,439.32/809,498 = 515,513.80/x
  3. Step 3: Cross multiply
    588,439.32x = 809,498 × 515,513.80
  4. Step 4: Simplify right side
    588,439.32x = 417,307,390,072.40
  5. Step 5: Solve for x
    x = 417,307,390,072.40/588,439.32
  6. Step 6: Final answer
    x = 709,176.59

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1.5x scale

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.