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Finding the Fourth Proportional to 417,543.68, 626,393.55 and 189,856.02

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Solution

The fourth proportional to 417,543.68, 626,393.55 and 189,856.02 is: 284,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,543.68 : 626,393.55 = 189,856.02 : x
  2. Step 2: Convert to fraction form
    417,543.68/626,393.55 = 189,856.02/x
  3. Step 3: Cross multiply
    417,543.68x = 626,393.55 × 189,856.02
  4. Step 4: Simplify right side
    417,543.68x = 118,924,585,407.39
  5. Step 5: Solve for x
    x = 118,924,585,407.39/417,543.68
  6. Step 6: Final answer
    x = 284,819.51

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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.