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Finding the Fourth Proportional to 342,412.58, 472,414.61 and 197,215.46

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Solution

The fourth proportional to 342,412.58, 472,414.61 and 197,215.46 is: 272,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,412.58 : 472,414.61 = 197,215.46 : x
  2. Step 2: Convert to fraction form
    342,412.58/472,414.61 = 197,215.46/x
  3. Step 3: Cross multiply
    342,412.58x = 472,414.61 × 197,215.46
  4. Step 4: Simplify right side
    342,412.58x = 93,167,461,273.72
  5. Step 5: Solve for x
    x = 93,167,461,273.72/342,412.58
  6. Step 6: Final answer
    x = 272,091.24

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1.5x scale

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.