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Finding the Fourth Proportional to 489,808.80, 733,741.20 and 431,359.20

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Solution

The fourth proportional to 489,808.80, 733,741.20 and 431,359.20 is: 646,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,808.80 : 733,741.20 = 431,359.20 : x
  2. Step 2: Convert to fraction form
    489,808.80/733,741.20 = 431,359.20/x
  3. Step 3: Cross multiply
    489,808.80x = 733,741.20 × 431,359.20
  4. Step 4: Simplify right side
    489,808.80x = 316,506,017,039.04
  5. Step 5: Solve for x
    x = 316,506,017,039.04/489,808.80
  6. Step 6: Final answer
    x = 646,182.79

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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.