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Finding the Fourth Proportional to 469,284.13, 704,135.54 and 216,428.91

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Solution

The fourth proportional to 469,284.13, 704,135.54 and 216,428.91 is: 324,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,284.13 : 704,135.54 = 216,428.91 : x
  2. Step 2: Convert to fraction form
    469,284.13/704,135.54 = 216,428.91/x
  3. Step 3: Cross multiply
    469,284.13x = 704,135.54 × 216,428.91
  4. Step 4: Simplify right side
    469,284.13x = 152,395,287,414.46
  5. Step 5: Solve for x
    x = 152,395,287,414.46/469,284.13
  6. Step 6: Final answer
    x = 324,739.91

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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.