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Finding the Fourth Proportional to 469,909.71, 704,858.45 and 114,926.81

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Solution

The fourth proportional to 469,909.71, 704,858.45 and 114,926.81 is: 172,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.71 : 704,858.45 = 114,926.81 : x
  2. Step 2: Convert to fraction form
    469,909.71/704,858.45 = 114,926.81/x
  3. Step 3: Cross multiply
    469,909.71x = 704,858.45 × 114,926.81
  4. Step 4: Simplify right side
    469,909.71x = 81,007,129,061.12
  5. Step 5: Solve for x
    x = 81,007,129,061.12/469,909.71
  6. Step 6: Final answer
    x = 172,388.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.