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Finding the Fourth Proportional to 410,637.52, 566,673.75 and 229,351.98

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Solution

The fourth proportional to 410,637.52, 566,673.75 and 229,351.98 is: 316,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,637.52 : 566,673.75 = 229,351.98 : x
  2. Step 2: Convert to fraction form
    410,637.52/566,673.75 = 229,351.98/x
  3. Step 3: Cross multiply
    410,637.52x = 566,673.75 × 229,351.98
  4. Step 4: Simplify right side
    410,637.52x = 129,967,746,462.73
  5. Step 5: Solve for x
    x = 129,967,746,462.73/410,637.52
  6. Step 6: Final answer
    x = 316,502.36

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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.