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Finding the Fourth Proportional to 520,077.90, 780,116.85 and 342,785.10

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Solution

The fourth proportional to 520,077.90, 780,116.85 and 342,785.10 is: 514,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077.90 : 780,116.85 = 342,785.10 : x
  2. Step 2: Convert to fraction form
    520,077.90/780,116.85 = 342,785.10/x
  3. Step 3: Cross multiply
    520,077.90x = 780,116.85 × 342,785.10
  4. Step 4: Simplify right side
    520,077.90x = 267,412,432,438.94
  5. Step 5: Solve for x
    x = 267,412,432,438.94/520,077.90
  6. Step 6: Final answer
    x = 514,177.65

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1.5x scale

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.