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Finding the Fourth Proportional to 514,665.32, 710,227.93 and 285,217.85

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Solution

The fourth proportional to 514,665.32, 710,227.93 and 285,217.85 is: 393,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,665.32 : 710,227.93 = 285,217.85 : x
  2. Step 2: Convert to fraction form
    514,665.32/710,227.93 = 285,217.85/x
  3. Step 3: Cross multiply
    514,665.32x = 710,227.93 × 285,217.85
  4. Step 4: Simplify right side
    514,665.32x = 202,569,683,700.85
  5. Step 5: Solve for x
    x = 202,569,683,700.85/514,665.32
  6. Step 6: Final answer
    x = 393,594.97

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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.