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Finding the Fourth Proportional to 360,407.48, 497,353.57 and 199,258.38

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Solution

The fourth proportional to 360,407.48, 497,353.57 and 199,258.38 is: 274,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,407.48 : 497,353.57 = 199,258.38 : x
  2. Step 2: Convert to fraction form
    360,407.48/497,353.57 = 199,258.38/x
  3. Step 3: Cross multiply
    360,407.48x = 497,353.57 × 199,258.38
  4. Step 4: Simplify right side
    360,407.48x = 99,101,866,147.27
  5. Step 5: Solve for x
    x = 99,101,866,147.27/360,407.48
  6. Step 6: Final answer
    x = 274,971.73

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Double scale
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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.