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Finding the Fourth Proportional to 341,712.74, 471,483.78 and 198,386.48

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Solution

The fourth proportional to 341,712.74, 471,483.78 and 198,386.48 is: 273,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,712.74 : 471,483.78 = 198,386.48 : x
  2. Step 2: Convert to fraction form
    341,712.74/471,483.78 = 198,386.48/x
  3. Step 3: Cross multiply
    341,712.74x = 471,483.78 × 198,386.48
  4. Step 4: Simplify right side
    341,712.74x = 93,536,007,491.29
  5. Step 5: Solve for x
    x = 93,536,007,491.29/341,712.74
  6. Step 6: Final answer
    x = 273,727.01

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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.