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Finding the Fourth Proportional to 769,614.16, 1,062,049.16 and 430,148.04

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Solution

The fourth proportional to 769,614.16, 1,062,049.16 and 430,148.04 is: 593,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,614.16 : 1,062,049.16 = 430,148.04 : x
  2. Step 2: Convert to fraction form
    769,614.16/1,062,049.16 = 430,148.04/x
  3. Step 3: Cross multiply
    769,614.16x = 1,062,049.16 × 430,148.04
  4. Step 4: Simplify right side
    769,614.16x = 456,838,364,557.65
  5. Step 5: Solve for x
    x = 456,838,364,557.65/769,614.16
  6. Step 6: Final answer
    x = 593,594.02

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