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Finding the Fourth Proportional to 410,484.66, 566,503.84 and 229,231.60

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Solution

The fourth proportional to 410,484.66, 566,503.84 and 229,231.60 is: 316,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,484.66 : 566,503.84 = 229,231.60 : x
  2. Step 2: Convert to fraction form
    410,484.66/566,503.84 = 229,231.60/x
  3. Step 3: Cross multiply
    410,484.66x = 566,503.84 × 229,231.60
  4. Step 4: Simplify right side
    410,484.66x = 129,860,581,649.34
  5. Step 5: Solve for x
    x = 129,860,581,649.34/410,484.66
  6. Step 6: Final answer
    x = 316,359.16

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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.