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Finding the Fourth Proportional to 469,515.61, 704,325.13 and 149,593.04

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Solution

The fourth proportional to 469,515.61, 704,325.13 and 149,593.04 is: 224,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,515.61 : 704,325.13 = 149,593.04 : x
  2. Step 2: Convert to fraction form
    469,515.61/704,325.13 = 149,593.04/x
  3. Step 3: Cross multiply
    469,515.61x = 704,325.13 × 149,593.04
  4. Step 4: Simplify right side
    469,515.61x = 105,362,133,449.49
  5. Step 5: Solve for x
    x = 105,362,133,449.49/469,515.61
  6. Step 6: Final answer
    x = 224,406.03

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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.