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Finding the Fourth Proportional to 584,659.75, 806,830.46 and 316,387.75

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Solution

The fourth proportional to 584,659.75, 806,830.46 and 316,387.75 is: 436,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,659.75 : 806,830.46 = 316,387.75 : x
  2. Step 2: Convert to fraction form
    584,659.75/806,830.46 = 316,387.75/x
  3. Step 3: Cross multiply
    584,659.75x = 806,830.46 × 316,387.75
  4. Step 4: Simplify right side
    584,659.75x = 255,271,272,288.93
  5. Step 5: Solve for x
    x = 255,271,272,288.93/584,659.75
  6. Step 6: Final answer
    x = 436,615.10

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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.