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Finding the Fourth Proportional to 515,657.46, 711,650.16 and 286,236.30

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Solution

The fourth proportional to 515,657.46, 711,650.16 and 286,236.30 is: 395,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,657.46 : 711,650.16 = 286,236.30 : x
  2. Step 2: Convert to fraction form
    515,657.46/711,650.16 = 286,236.30/x
  3. Step 3: Cross multiply
    515,657.46x = 711,650.16 × 286,236.30
  4. Step 4: Simplify right side
    515,657.46x = 203,700,108,692.81
  5. Step 5: Solve for x
    x = 203,700,108,692.81/515,657.46
  6. Step 6: Final answer
    x = 395,029.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.