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Finding the Fourth Proportional to 469,388.47, 704,137.70 and 149,428.24

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Solution

The fourth proportional to 469,388.47, 704,137.70 and 149,428.24 is: 224,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,388.47 : 704,137.70 = 149,428.24 : x
  2. Step 2: Convert to fraction form
    469,388.47/704,137.70 = 149,428.24/x
  3. Step 3: Cross multiply
    469,388.47x = 704,137.70 × 149,428.24
  4. Step 4: Simplify right side
    469,388.47x = 105,218,057,228.65
  5. Step 5: Solve for x
    x = 105,218,057,228.65/469,388.47
  6. Step 6: Final answer
    x = 224,159.87

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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.