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Finding the Fourth Proportional to 513,733.87, 770,510.59 and 158,750.96

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Solution

The fourth proportional to 513,733.87, 770,510.59 and 158,750.96 is: 238,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,733.87 : 770,510.59 = 158,750.96 : x
  2. Step 2: Convert to fraction form
    513,733.87/770,510.59 = 158,750.96/x
  3. Step 3: Cross multiply
    513,733.87x = 770,510.59 × 158,750.96
  4. Step 4: Simplify right side
    513,733.87x = 122,319,298,327.66
  5. Step 5: Solve for x
    x = 122,319,298,327.66/513,733.87
  6. Step 6: Final answer
    x = 238,098.57

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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.