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Finding the Fourth Proportional to 597,965.80, 896,948.70 and 538,916.80

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Solution

The fourth proportional to 597,965.80, 896,948.70 and 538,916.80 is: 808,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,965.80 : 896,948.70 = 538,916.80 : x
  2. Step 2: Convert to fraction form
    597,965.80/896,948.70 = 538,916.80/x
  3. Step 3: Cross multiply
    597,965.80x = 896,948.70 × 538,916.80
  4. Step 4: Simplify right side
    597,965.80x = 483,380,723,168.16
  5. Step 5: Solve for x
    x = 483,380,723,168.16/597,965.80
  6. Step 6: Final answer
    x = 808,375.20

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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.