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Finding the Fourth Proportional to 513,559.77, 770,339.97 and 193,624.76

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Solution

The fourth proportional to 513,559.77, 770,339.97 and 193,624.76 is: 290,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,559.77 : 770,339.97 = 193,624.76 : x
  2. Step 2: Convert to fraction form
    513,559.77/770,339.97 = 193,624.76/x
  3. Step 3: Cross multiply
    513,559.77x = 770,339.97 × 193,624.76
  4. Step 4: Simplify right side
    513,559.77x = 149,156,887,957.96
  5. Step 5: Solve for x
    x = 149,156,887,957.96/513,559.77
  6. Step 6: Final answer
    x = 290,437.25

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Similar ratio
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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.