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Finding the Fourth Proportional to 418,335, 629,778.71 and 381,134.13

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Solution

The fourth proportional to 418,335, 629,778.71 and 381,134.13 is: 573,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,335 : 629,778.71 = 381,134.13 : x
  2. Step 2: Convert to fraction form
    418,335/629,778.71 = 381,134.13/x
  3. Step 3: Cross multiply
    418,335x = 629,778.71 × 381,134.13
  4. Step 4: Simplify right side
    418,335x = 240,030,158,822.70
  5. Step 5: Solve for x
    x = 240,030,158,822.70/418,335
  6. Step 6: Final answer
    x = 573,774.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.