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Finding the Fourth Proportional to 514,934.68, 710,651.94 and 285,563.80

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Solution

The fourth proportional to 514,934.68, 710,651.94 and 285,563.80 is: 394,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,934.68 : 710,651.94 = 285,563.80 : x
  2. Step 2: Convert to fraction form
    514,934.68/710,651.94 = 285,563.80/x
  3. Step 3: Cross multiply
    514,934.68x = 710,651.94 × 285,563.80
  4. Step 4: Simplify right side
    514,934.68x = 202,936,468,463.77
  5. Step 5: Solve for x
    x = 202,936,468,463.77/514,934.68
  6. Step 6: Final answer
    x = 394,101.38

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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.