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Finding the Fourth Proportional to 341,854.47, 471,643.70 and 198,496.62

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Solution

The fourth proportional to 341,854.47, 471,643.70 and 198,496.62 is: 273,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,854.47 : 471,643.70 = 198,496.62 : x
  2. Step 2: Convert to fraction form
    341,854.47/471,643.70 = 198,496.62/x
  3. Step 3: Cross multiply
    341,854.47x = 471,643.70 × 198,496.62
  4. Step 4: Simplify right side
    341,854.47x = 93,619,679,301.81
  5. Step 5: Solve for x
    x = 93,619,679,301.81/341,854.47
  6. Step 6: Final answer
    x = 273,858.29

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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.