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Finding the Fourth Proportional to 410,544.41, 566,545.93 and 229,259.52

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Solution

The fourth proportional to 410,544.41, 566,545.93 and 229,259.52 is: 316,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,544.41 : 566,545.93 = 229,259.52 : x
  2. Step 2: Convert to fraction form
    410,544.41/566,545.93 = 229,259.52/x
  3. Step 3: Cross multiply
    410,544.41x = 566,545.93 × 229,259.52
  4. Step 4: Simplify right side
    410,544.41x = 129,886,047,396.61
  5. Step 5: Solve for x
    x = 129,886,047,396.61/410,544.41
  6. Step 6: Final answer
    x = 316,375.15

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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.