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Finding the Fourth Proportional to 417,082.80, 625,624.20 and 207,130.80

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Solution

The fourth proportional to 417,082.80, 625,624.20 and 207,130.80 is: 310,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,082.80 : 625,624.20 = 207,130.80 : x
  2. Step 2: Convert to fraction form
    417,082.80/625,624.20 = 207,130.80/x
  3. Step 3: Cross multiply
    417,082.80x = 625,624.20 × 207,130.80
  4. Step 4: Simplify right side
    417,082.80x = 129,586,041,045.36
  5. Step 5: Solve for x
    x = 129,586,041,045.36/417,082.80
  6. Step 6: Final answer
    x = 310,696.20

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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.