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Finding the Fourth Proportional to 585,816.80, 878,822.40 and 230,842.40

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Solution

The fourth proportional to 585,816.80, 878,822.40 and 230,842.40 is: 346,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,816.80 : 878,822.40 = 230,842.40 : x
  2. Step 2: Convert to fraction form
    585,816.80/878,822.40 = 230,842.40/x
  3. Step 3: Cross multiply
    585,816.80x = 878,822.40 × 230,842.40
  4. Step 4: Simplify right side
    585,816.80x = 202,869,471,989.76
  5. Step 5: Solve for x
    x = 202,869,471,989.76/585,816.80
  6. Step 6: Final answer
    x = 346,301.90

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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.