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Finding the Fourth Proportional to 469,386, 704,120.28 and 132,429.24

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Solution

The fourth proportional to 469,386, 704,120.28 and 132,429.24 is: 198,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,386 : 704,120.28 = 132,429.24 : x
  2. Step 2: Convert to fraction form
    469,386/704,120.28 = 132,429.24/x
  3. Step 3: Cross multiply
    469,386x = 704,120.28 × 132,429.24
  4. Step 4: Simplify right side
    469,386x = 93,246,113,548.99
  5. Step 5: Solve for x
    x = 93,246,113,548.99/469,386
  6. Step 6: Final answer
    x = 198,655.51

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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.