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Finding the Fourth Proportional to 410,643.68, 566,682.28 and 229,358.18

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Solution

The fourth proportional to 410,643.68, 566,682.28 and 229,358.18 is: 316,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,643.68 : 566,682.28 = 229,358.18 : x
  2. Step 2: Convert to fraction form
    410,643.68/566,682.28 = 229,358.18/x
  3. Step 3: Cross multiply
    410,643.68x = 566,682.28 × 229,358.18
  4. Step 4: Simplify right side
    410,643.68x = 129,973,217,222.36
  5. Step 5: Solve for x
    x = 129,973,217,222.36/410,643.68
  6. Step 6: Final answer
    x = 316,510.94

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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.