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Finding the Fourth Proportional to 469,966.80, 704,950.20 and 217,246.80

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Solution

The fourth proportional to 469,966.80, 704,950.20 and 217,246.80 is: 325,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,966.80 : 704,950.20 = 217,246.80 : x
  2. Step 2: Convert to fraction form
    469,966.80/704,950.20 = 217,246.80/x
  3. Step 3: Cross multiply
    469,966.80x = 704,950.20 × 217,246.80
  4. Step 4: Simplify right side
    469,966.80x = 153,148,175,109.36
  5. Step 5: Solve for x
    x = 153,148,175,109.36/469,966.80
  6. Step 6: Final answer
    x = 325,870.20

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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.