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Finding the Fourth Proportional to 386,176.68, 532,734.44 and 335,117.74

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Solution

The fourth proportional to 386,176.68, 532,734.44 and 335,117.74 is: 462,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,176.68 : 532,734.44 = 335,117.74 : x
  2. Step 2: Convert to fraction form
    386,176.68/532,734.44 = 335,117.74/x
  3. Step 3: Cross multiply
    386,176.68x = 532,734.44 × 335,117.74
  4. Step 4: Simplify right side
    386,176.68x = 178,528,761,552.97
  5. Step 5: Solve for x
    x = 178,528,761,552.97/386,176.68
  6. Step 6: Final answer
    x = 462,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.