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Finding the Fourth Proportional to 532,186.83, 798,280.19 and 195,100.06

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Solution

The fourth proportional to 532,186.83, 798,280.19 and 195,100.06 is: 292,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,186.83 : 798,280.19 = 195,100.06 : x
  2. Step 2: Convert to fraction form
    532,186.83/798,280.19 = 195,100.06/x
  3. Step 3: Cross multiply
    532,186.83x = 798,280.19 × 195,100.06
  4. Step 4: Simplify right side
    532,186.83x = 155,744,512,965.81
  5. Step 5: Solve for x
    x = 155,744,512,965.81/532,186.83
  6. Step 6: Final answer
    x = 292,650.07

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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.