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Finding the Fourth Proportional to 513,357.30, 770,088.78 and 193,778.37

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Solution

The fourth proportional to 513,357.30, 770,088.78 and 193,778.37 is: 290,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,357.30 : 770,088.78 = 193,778.37 : x
  2. Step 2: Convert to fraction form
    513,357.30/770,088.78 = 193,778.37/x
  3. Step 3: Cross multiply
    513,357.30x = 770,088.78 × 193,778.37
  4. Step 4: Simplify right side
    513,357.30x = 149,226,548,543.69
  5. Step 5: Solve for x
    x = 149,226,548,543.69/513,357.30
  6. Step 6: Final answer
    x = 290,687.50

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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.