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Finding the Fourth Proportional to 410,735.65, 566,812.50 and 229,446.01

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Solution

The fourth proportional to 410,735.65, 566,812.50 and 229,446.01 is: 316,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,735.65 : 566,812.50 = 229,446.01 : x
  2. Step 2: Convert to fraction form
    410,735.65/566,812.50 = 229,446.01/x
  3. Step 3: Cross multiply
    410,735.65x = 566,812.50 × 229,446.01
  4. Step 4: Simplify right side
    410,735.65x = 130,052,866,543.13
  5. Step 5: Solve for x
    x = 130,052,866,543.13/410,735.65
  6. Step 6: Final answer
    x = 316,633.99

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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.