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Finding the Fourth Proportional to 522,050.70, 781,520.85 and 311,580.30

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Solution

The fourth proportional to 522,050.70, 781,520.85 and 311,580.30 is: 466,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,050.70 : 781,520.85 = 311,580.30 : x
  2. Step 2: Convert to fraction form
    522,050.70/781,520.85 = 311,580.30/x
  3. Step 3: Cross multiply
    522,050.70x = 781,520.85 × 311,580.30
  4. Step 4: Simplify right side
    522,050.70x = 243,506,500,899.26
  5. Step 5: Solve for x
    x = 243,506,500,899.26/522,050.70
  6. Step 6: Final answer
    x = 466,442.25

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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.