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Finding the Fourth Proportional to 410,483.66, 566,502.46 and 229,230.60

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Solution

The fourth proportional to 410,483.66, 566,502.46 and 229,230.60 is: 316,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,483.66 : 566,502.46 = 229,230.60 : x
  2. Step 2: Convert to fraction form
    410,483.66/566,502.46 = 229,230.60/x
  3. Step 3: Cross multiply
    410,483.66x = 566,502.46 × 229,230.60
  4. Step 4: Simplify right side
    410,483.66x = 129,859,698,807.28
  5. Step 5: Solve for x
    x = 129,859,698,807.28/410,483.66
  6. Step 6: Final answer
    x = 316,357.78

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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.