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Finding the Fourth Proportional to 542,853.30, 814,279.95 and 402,885.30

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Solution

The fourth proportional to 542,853.30, 814,279.95 and 402,885.30 is: 604,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,853.30 : 814,279.95 = 402,885.30 : x
  2. Step 2: Convert to fraction form
    542,853.30/814,279.95 = 402,885.30/x
  3. Step 3: Cross multiply
    542,853.30x = 814,279.95 × 402,885.30
  4. Step 4: Simplify right side
    542,853.30x = 328,061,421,939.74
  5. Step 5: Solve for x
    x = 328,061,421,939.74/542,853.30
  6. Step 6: Final answer
    x = 604,327.95

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