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Finding the Fourth Proportional to 542,579.41, 811,424.35 and 414,534.61

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Solution

The fourth proportional to 542,579.41, 811,424.35 and 414,534.61 is: 619,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,579.41 : 811,424.35 = 414,534.61 : x
  2. Step 2: Convert to fraction form
    542,579.41/811,424.35 = 414,534.61/x
  3. Step 3: Cross multiply
    542,579.41x = 811,424.35 × 414,534.61
  4. Step 4: Simplify right side
    542,579.41x = 336,363,476,471.75
  5. Step 5: Solve for x
    x = 336,363,476,471.75/542,579.41
  6. Step 6: Final answer
    x = 619,934.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.