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Finding the Fourth Proportional to 514,964.92, 710,612.40 and 288,566.68

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Solution

The fourth proportional to 514,964.92, 710,612.40 and 288,566.68 is: 398,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,964.92 : 710,612.40 = 288,566.68 : x
  2. Step 2: Convert to fraction form
    514,964.92/710,612.40 = 288,566.68/x
  3. Step 3: Cross multiply
    514,964.92x = 710,612.40 × 288,566.68
  4. Step 4: Simplify right side
    514,964.92x = 205,059,061,034.83
  5. Step 5: Solve for x
    x = 205,059,061,034.83/514,964.92
  6. Step 6: Final answer
    x = 398,200.06

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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.