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Finding the Fourth Proportional to 585,906.40, 878,686.80 and 230,802.40

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Solution

The fourth proportional to 585,906.40, 878,686.80 and 230,802.40 is: 346,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,906.40 : 878,686.80 = 230,802.40 : x
  2. Step 2: Convert to fraction form
    585,906.40/878,686.80 = 230,802.40/x
  3. Step 3: Cross multiply
    585,906.40x = 878,686.80 × 230,802.40
  4. Step 4: Simplify right side
    585,906.40x = 202,803,022,288.32
  5. Step 5: Solve for x
    x = 202,803,022,288.32/585,906.40
  6. Step 6: Final answer
    x = 346,135.53

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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.