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Finding the Fourth Proportional to 495,873.94, 743,515.26 and 196,397.50

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Solution

The fourth proportional to 495,873.94, 743,515.26 and 196,397.50 is: 294,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,873.94 : 743,515.26 = 196,397.50 : x
  2. Step 2: Convert to fraction form
    495,873.94/743,515.26 = 196,397.50/x
  3. Step 3: Cross multiply
    495,873.94x = 743,515.26 × 196,397.50
  4. Step 4: Simplify right side
    495,873.94x = 146,024,538,275.85
  5. Step 5: Solve for x
    x = 146,024,538,275.85/495,873.94
  6. Step 6: Final answer
    x = 294,479.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.