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Finding the Fourth Proportional to 520,082.30, 780,232.80 and 295,258.70

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Solution

The fourth proportional to 520,082.30, 780,232.80 and 295,258.70 is: 442,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082.30 : 780,232.80 = 295,258.70 : x
  2. Step 2: Convert to fraction form
    520,082.30/780,232.80 = 295,258.70/x
  3. Step 3: Cross multiply
    520,082.30x = 780,232.80 × 295,258.70
  4. Step 4: Simplify right side
    520,082.30x = 230,370,522,225.36
  5. Step 5: Solve for x
    x = 230,370,522,225.36/520,082.30
  6. Step 6: Final answer
    x = 442,950.13

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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.