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Finding the Fourth Proportional to 385,254.17, 577,979.84 and 225,464.66

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Solution

The fourth proportional to 385,254.17, 577,979.84 and 225,464.66 is: 338,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,254.17 : 577,979.84 = 225,464.66 : x
  2. Step 2: Convert to fraction form
    385,254.17/577,979.84 = 225,464.66/x
  3. Step 3: Cross multiply
    385,254.17x = 577,979.84 × 225,464.66
  4. Step 4: Simplify right side
    385,254.17x = 130,314,024,095.23
  5. Step 5: Solve for x
    x = 130,314,024,095.23/385,254.17
  6. Step 6: Final answer
    x = 338,254.68

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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.