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Finding the Fourth Proportional to 537,934.16, 806,643.72 and 313,358.48

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Solution

The fourth proportional to 537,934.16, 806,643.72 and 313,358.48 is: 469,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,934.16 : 806,643.72 = 313,358.48 : x
  2. Step 2: Convert to fraction form
    537,934.16/806,643.72 = 313,358.48/x
  3. Step 3: Cross multiply
    537,934.16x = 806,643.72 × 313,358.48
  4. Step 4: Simplify right side
    537,934.16x = 252,768,650,000.75
  5. Step 5: Solve for x
    x = 252,768,650,000.75/537,934.16
  6. Step 6: Final answer
    x = 469,887.71

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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.