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Finding the Fourth Proportional to 514,656.32, 710,225.76 and 288,306.56

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Solution

The fourth proportional to 514,656.32, 710,225.76 and 288,306.56 is: 397,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,656.32 : 710,225.76 = 288,306.56 : x
  2. Step 2: Convert to fraction form
    514,656.32/710,225.76 = 288,306.56/x
  3. Step 3: Cross multiply
    514,656.32x = 710,225.76 × 288,306.56
  4. Step 4: Simplify right side
    514,656.32x = 204,762,745,688.99
  5. Step 5: Solve for x
    x = 204,762,745,688.99/514,656.32
  6. Step 6: Final answer
    x = 397,863.07

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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.