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Finding the Fourth Proportional to 513,357.30, 770,088.74 and 193,778.35

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Solution

The fourth proportional to 513,357.30, 770,088.74 and 193,778.35 is: 290,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,357.30 : 770,088.74 = 193,778.35 : x
  2. Step 2: Convert to fraction form
    513,357.30/770,088.74 = 193,778.35/x
  3. Step 3: Cross multiply
    513,357.30x = 770,088.74 × 193,778.35
  4. Step 4: Simplify right side
    513,357.30x = 149,226,522,496.67
  5. Step 5: Solve for x
    x = 149,226,522,496.67/513,357.30
  6. Step 6: Final answer
    x = 290,687.45

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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.