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Finding the Fourth Proportional to 469,431.95, 704,265.92 and 216,891.15

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Solution

The fourth proportional to 469,431.95, 704,265.92 and 216,891.15 is: 325,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,431.95 : 704,265.92 = 216,891.15 : x
  2. Step 2: Convert to fraction form
    469,431.95/704,265.92 = 216,891.15/x
  3. Step 3: Cross multiply
    469,431.95x = 704,265.92 × 216,891.15
  4. Step 4: Simplify right side
    469,431.95x = 152,749,044,210.15
  5. Step 5: Solve for x
    x = 152,749,044,210.15/469,431.95
  6. Step 6: Final answer
    x = 325,391.24

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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.