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Finding the Fourth Proportional to 360,414.90, 497,352.42 and 199,260.54

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Solution

The fourth proportional to 360,414.90, 497,352.42 and 199,260.54 is: 274,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,414.90 : 497,352.42 = 199,260.54 : x
  2. Step 2: Convert to fraction form
    360,414.90/497,352.42 = 199,260.54/x
  3. Step 3: Cross multiply
    360,414.90x = 497,352.42 × 199,260.54
  4. Step 4: Simplify right side
    360,414.90x = 99,102,711,779.51
  5. Step 5: Solve for x
    x = 99,102,711,779.51/360,414.90
  6. Step 6: Final answer
    x = 274,968.41

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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.