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Finding the Fourth Proportional to 341,543.41, 471,294.12 and 198,275.47

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Solution

The fourth proportional to 341,543.41, 471,294.12 and 198,275.47 is: 273,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,543.41 : 471,294.12 = 198,275.47 : x
  2. Step 2: Convert to fraction form
    341,543.41/471,294.12 = 198,275.47/x
  3. Step 3: Cross multiply
    341,543.41x = 471,294.12 × 198,275.47
  4. Step 4: Simplify right side
    341,543.41x = 93,446,063,151.24
  5. Step 5: Solve for x
    x = 93,446,063,151.24/341,543.41
  6. Step 6: Final answer
    x = 273,599.37

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