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Finding the Fourth Proportional to 507,064.52, 761,344.38 and 282,863

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Solution

The fourth proportional to 507,064.52, 761,344.38 and 282,863 is: 424,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,064.52 : 761,344.38 = 282,863 : x
  2. Step 2: Convert to fraction form
    507,064.52/761,344.38 = 282,863/x
  3. Step 3: Cross multiply
    507,064.52x = 761,344.38 × 282,863
  4. Step 4: Simplify right side
    507,064.52x = 215,356,155,359.94
  5. Step 5: Solve for x
    x = 215,356,155,359.94/507,064.52
  6. Step 6: Final answer
    x = 424,711.54

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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.