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Finding the Fourth Proportional to 493,973.76, 681,684.92 and 267,619.24

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Solution

The fourth proportional to 493,973.76, 681,684.92 and 267,619.24 is: 369,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,973.76 : 681,684.92 = 267,619.24 : x
  2. Step 2: Convert to fraction form
    493,973.76/681,684.92 = 267,619.24/x
  3. Step 3: Cross multiply
    493,973.76x = 681,684.92 × 267,619.24
  4. Step 4: Simplify right side
    493,973.76x = 182,432,000,209.86
  5. Step 5: Solve for x
    x = 182,432,000,209.86/493,973.76
  6. Step 6: Final answer
    x = 369,315.16

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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.