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Finding the Fourth Proportional to 410,494.65, 566,477.39 and 229,209.77

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Solution

The fourth proportional to 410,494.65, 566,477.39 and 229,209.77 is: 316,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,494.65 : 566,477.39 = 229,209.77 : x
  2. Step 2: Convert to fraction form
    410,494.65/566,477.39 = 229,209.77/x
  3. Step 3: Cross multiply
    410,494.65x = 566,477.39 × 229,209.77
  4. Step 4: Simplify right side
    410,494.65x = 129,842,148,293.67
  5. Step 5: Solve for x
    x = 129,842,148,293.67/410,494.65
  6. Step 6: Final answer
    x = 316,306.55

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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.