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Finding the Fourth Proportional to 513,316.98, 769,718.46 and 158,284.86

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Solution

The fourth proportional to 513,316.98, 769,718.46 and 158,284.86 is: 237,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,316.98 : 769,718.46 = 158,284.86 : x
  2. Step 2: Convert to fraction form
    513,316.98/769,718.46 = 158,284.86/x
  3. Step 3: Cross multiply
    513,316.98x = 769,718.46 × 158,284.86
  4. Step 4: Simplify right side
    513,316.98x = 121,834,778,680.52
  5. Step 5: Solve for x
    x = 121,834,778,680.52/513,316.98
  6. Step 6: Final answer
    x = 237,348.04

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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.