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Finding the Fourth Proportional to 265,597.84, 398,363.60 and 107,674.56

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Solution

The fourth proportional to 265,597.84, 398,363.60 and 107,674.56 is: 161,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,597.84 : 398,363.60 = 107,674.56 : x
  2. Step 2: Convert to fraction form
    265,597.84/398,363.60 = 107,674.56/x
  3. Step 3: Cross multiply
    265,597.84x = 398,363.60 × 107,674.56
  4. Step 4: Simplify right side
    265,597.84x = 42,893,625,350.02
  5. Step 5: Solve for x
    x = 42,893,625,350.02/265,597.84
  6. Step 6: Final answer
    x = 161,498.40

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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.