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Finding the Fourth Proportional to 360,407.86, 497,342.76 and 199,253.50

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Solution

The fourth proportional to 360,407.86, 497,342.76 and 199,253.50 is: 274,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,407.86 : 497,342.76 = 199,253.50 : x
  2. Step 2: Convert to fraction form
    360,407.86/497,342.76 = 199,253.50/x
  3. Step 3: Cross multiply
    360,407.86x = 497,342.76 × 199,253.50
  4. Step 4: Simplify right side
    360,407.86x = 99,097,285,629.66
  5. Step 5: Solve for x
    x = 99,097,285,629.66/360,407.86
  6. Step 6: Final answer
    x = 274,958.72

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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.