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Finding the Fourth Proportional to 589,700.15, 813,686.72 and 331,543.02

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Solution

The fourth proportional to 589,700.15, 813,686.72 and 331,543.02 is: 457,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,700.15 : 813,686.72 = 331,543.02 : x
  2. Step 2: Convert to fraction form
    589,700.15/813,686.72 = 331,543.02/x
  3. Step 3: Cross multiply
    589,700.15x = 813,686.72 × 331,543.02
  4. Step 4: Simplify right side
    589,700.15x = 269,772,153,876.30
  5. Step 5: Solve for x
    x = 269,772,153,876.30/589,700.15
  6. Step 6: Final answer
    x = 457,473.44

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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.