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Finding the Fourth Proportional to 303,052.71, 418,262 and 182,316

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Solution

The fourth proportional to 303,052.71, 418,262 and 182,316 is: 251,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,052.71 : 418,262 = 182,316 : x
  2. Step 2: Convert to fraction form
    303,052.71/418,262 = 182,316/x
  3. Step 3: Cross multiply
    303,052.71x = 418,262 × 182,316
  4. Step 4: Simplify right side
    303,052.71x = 76,255,854,792
  5. Step 5: Solve for x
    x = 76,255,854,792/303,052.71
  6. Step 6: Final answer
    x = 251,625.71

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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.