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Finding the Fourth Proportional to 514,543.20, 710,107.20 and 310,644.24

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Solution

The fourth proportional to 514,543.20, 710,107.20 and 310,644.24 is: 428,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,543.20 : 710,107.20 = 310,644.24 : x
  2. Step 2: Convert to fraction form
    514,543.20/710,107.20 = 310,644.24/x
  3. Step 3: Cross multiply
    514,543.20x = 710,107.20 × 310,644.24
  4. Step 4: Simplify right side
    514,543.20x = 220,590,711,462.53
  5. Step 5: Solve for x
    x = 220,590,711,462.53/514,543.20
  6. Step 6: Final answer
    x = 428,711.74

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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.