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Finding the Fourth Proportional to 502,589.52, 693,537.12 and 298,631.52

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Solution

The fourth proportional to 502,589.52, 693,537.12 and 298,631.52 is: 412,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,589.52 : 693,537.12 = 298,631.52 : x
  2. Step 2: Convert to fraction form
    502,589.52/693,537.12 = 298,631.52/x
  3. Step 3: Cross multiply
    502,589.52x = 693,537.12 × 298,631.52
  4. Step 4: Simplify right side
    502,589.52x = 207,112,044,322.02
  5. Step 5: Solve for x
    x = 207,112,044,322.02/502,589.52
  6. Step 6: Final answer
    x = 412,089.86

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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.