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Finding the Fourth Proportional to 469,643.54, 704,494.60 and 132,710

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Solution

The fourth proportional to 469,643.54, 704,494.60 and 132,710 is: 199,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,643.54 : 704,494.60 = 132,710 : x
  2. Step 2: Convert to fraction form
    469,643.54/704,494.60 = 132,710/x
  3. Step 3: Cross multiply
    469,643.54x = 704,494.60 × 132,710
  4. Step 4: Simplify right side
    469,643.54x = 93,493,478,366
  5. Step 5: Solve for x
    x = 93,493,478,366/469,643.54
  6. Step 6: Final answer
    x = 199,073.28

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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.