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Finding the Fourth Proportional to 891,672.16, 1,230,336.12 and 509,617.84

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Solution

The fourth proportional to 891,672.16, 1,230,336.12 and 509,617.84 is: 703,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,672.16 : 1,230,336.12 = 509,617.84 : x
  2. Step 2: Convert to fraction form
    891,672.16/1,230,336.12 = 509,617.84/x
  3. Step 3: Cross multiply
    891,672.16x = 1,230,336.12 × 509,617.84
  4. Step 4: Simplify right side
    891,672.16x = 627,001,235,948.38
  5. Step 5: Solve for x
    x = 627,001,235,948.38/891,672.16
  6. Step 6: Final answer
    x = 703,174.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.