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Finding the Fourth Proportional to 418,044.06, 627,280.56 and 204,807.96

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Solution

The fourth proportional to 418,044.06, 627,280.56 and 204,807.96 is: 307,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,044.06 : 627,280.56 = 204,807.96 : x
  2. Step 2: Convert to fraction form
    418,044.06/627,280.56 = 204,807.96/x
  3. Step 3: Cross multiply
    418,044.06x = 627,280.56 × 204,807.96
  4. Step 4: Simplify right side
    418,044.06x = 128,472,051,841.26
  5. Step 5: Solve for x
    x = 128,472,051,841.26/418,044.06
  6. Step 6: Final answer
    x = 307,317.01

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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.