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Finding the Fourth Proportional to 410,683.52, 566,737.12 and 229,398.72

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Solution

The fourth proportional to 410,683.52, 566,737.12 and 229,398.72 is: 316,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,683.52 : 566,737.12 = 229,398.72 : x
  2. Step 2: Convert to fraction form
    410,683.52/566,737.12 = 229,398.72/x
  3. Step 3: Cross multiply
    410,683.52x = 566,737.12 × 229,398.72
  4. Step 4: Simplify right side
    410,683.52x = 130,008,769,904.49
  5. Step 5: Solve for x
    x = 130,008,769,904.49/410,683.52
  6. Step 6: Final answer
    x = 316,566.81

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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.