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Finding the Fourth Proportional to 418,552.52, 577,601.16 and 227,566.40

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Solution

The fourth proportional to 418,552.52, 577,601.16 and 227,566.40 is: 314,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,552.52 : 577,601.16 = 227,566.40 : x
  2. Step 2: Convert to fraction form
    418,552.52/577,601.16 = 227,566.40/x
  3. Step 3: Cross multiply
    418,552.52x = 577,601.16 × 227,566.40
  4. Step 4: Simplify right side
    418,552.52x = 131,442,616,617.02
  5. Step 5: Solve for x
    x = 131,442,616,617.02/418,552.52
  6. Step 6: Final answer
    x = 314,040.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.