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Finding the Fourth Proportional to 410,626.19, 566,658.02 and 229,341.17

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Solution

The fourth proportional to 410,626.19, 566,658.02 and 229,341.17 is: 316,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,626.19 : 566,658.02 = 229,341.17 : x
  2. Step 2: Convert to fraction form
    410,626.19/566,658.02 = 229,341.17/x
  3. Step 3: Cross multiply
    410,626.19x = 566,658.02 × 229,341.17
  4. Step 4: Simplify right side
    410,626.19x = 129,958,009,316.69
  5. Step 5: Solve for x
    x = 129,958,009,316.69/410,626.19
  6. Step 6: Final answer
    x = 316,487.39

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