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Finding the Fourth Proportional to 452,149.32, 678,224.04 and 171,666.72

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Solution

The fourth proportional to 452,149.32, 678,224.04 and 171,666.72 is: 257,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,149.32 : 678,224.04 = 171,666.72 : x
  2. Step 2: Convert to fraction form
    452,149.32/678,224.04 = 171,666.72/x
  3. Step 3: Cross multiply
    452,149.32x = 678,224.04 × 171,666.72
  4. Step 4: Simplify right side
    452,149.32x = 116,428,496,371.95
  5. Step 5: Solve for x
    x = 116,428,496,371.95/452,149.32
  6. Step 6: Final answer
    x = 257,500.10

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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.