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Finding the Fourth Proportional to 537,909.60, 806,864.40 and 313,523.40

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Solution

The fourth proportional to 537,909.60, 806,864.40 and 313,523.40 is: 470,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,909.60 : 806,864.40 = 313,523.40 : x
  2. Step 2: Convert to fraction form
    537,909.60/806,864.40 = 313,523.40/x
  3. Step 3: Cross multiply
    537,909.60x = 806,864.40 × 313,523.40
  4. Step 4: Simplify right side
    537,909.60x = 252,970,870,026.96
  5. Step 5: Solve for x
    x = 252,970,870,026.96/537,909.60
  6. Step 6: Final answer
    x = 470,285.10

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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.