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Finding the Fourth Proportional to 584,716.48, 806,909.52 and 316,444.48

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Solution

The fourth proportional to 584,716.48, 806,909.52 and 316,444.48 is: 436,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,716.48 : 806,909.52 = 316,444.48 : x
  2. Step 2: Convert to fraction form
    584,716.48/806,909.52 = 316,444.48/x
  3. Step 3: Cross multiply
    584,716.48x = 806,909.52 × 316,444.48
  4. Step 4: Simplify right side
    584,716.48x = 255,342,063,463.45
  5. Step 5: Solve for x
    x = 255,342,063,463.45/584,716.48
  6. Step 6: Final answer
    x = 436,693.80

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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.