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Finding the Fourth Proportional to 532,094.40, 796,586.40 and 476,107.20

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Solution

The fourth proportional to 532,094.40, 796,586.40 and 476,107.20 is: 712,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,094.40 : 796,586.40 = 476,107.20 : x
  2. Step 2: Convert to fraction form
    532,094.40/796,586.40 = 476,107.20/x
  3. Step 3: Cross multiply
    532,094.40x = 796,586.40 × 476,107.20
  4. Step 4: Simplify right side
    532,094.40x = 379,260,520,462.08
  5. Step 5: Solve for x
    x = 379,260,520,462.08/532,094.40
  6. Step 6: Final answer
    x = 712,769.24

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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.