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Finding the Fourth Proportional to 589,761, 884,641.50 and 146,529

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Solution

The fourth proportional to 589,761, 884,641.50 and 146,529 is: 219,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,761 : 884,641.50 = 146,529 : x
  2. Step 2: Convert to fraction form
    589,761/884,641.50 = 146,529/x
  3. Step 3: Cross multiply
    589,761x = 884,641.50 × 146,529
  4. Step 4: Simplify right side
    589,761x = 129,625,634,353.50
  5. Step 5: Solve for x
    x = 129,625,634,353.50/589,761
  6. Step 6: Final answer
    x = 219,793.50

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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.