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Finding the Fourth Proportional to 410,658.69, 566,703.02 and 229,373.20

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Solution

The fourth proportional to 410,658.69, 566,703.02 and 229,373.20 is: 316,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,658.69 : 566,703.02 = 229,373.20 : x
  2. Step 2: Convert to fraction form
    410,658.69/566,703.02 = 229,373.20/x
  3. Step 3: Cross multiply
    410,658.69x = 566,703.02 × 229,373.20
  4. Step 4: Simplify right side
    410,658.69x = 129,986,484,303.74
  5. Step 5: Solve for x
    x = 129,986,484,303.74/410,658.69
  6. Step 6: Final answer
    x = 316,531.68

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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.