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Finding the Fourth Proportional to 456,165.66, 683,825.10 and 216,392.04

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Solution

The fourth proportional to 456,165.66, 683,825.10 and 216,392.04 is: 324,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,165.66 : 683,825.10 = 216,392.04 : x
  2. Step 2: Convert to fraction form
    456,165.66/683,825.10 = 216,392.04/x
  3. Step 3: Cross multiply
    456,165.66x = 683,825.10 × 216,392.04
  4. Step 4: Simplify right side
    456,165.66x = 147,974,308,392.20
  5. Step 5: Solve for x
    x = 147,974,308,392.20/456,165.66
  6. Step 6: Final answer
    x = 324,387.22

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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.