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Finding the Fourth Proportional to 585,853.93, 878,468.32 and 277,782.18

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Solution

The fourth proportional to 585,853.93, 878,468.32 and 277,782.18 is: 416,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,853.93 : 878,468.32 = 277,782.18 : x
  2. Step 2: Convert to fraction form
    585,853.93/878,468.32 = 277,782.18/x
  3. Step 3: Cross multiply
    585,853.93x = 878,468.32 × 277,782.18
  4. Step 4: Simplify right side
    585,853.93x = 244,022,842,043.51
  5. Step 5: Solve for x
    x = 244,022,842,043.51/585,853.93
  6. Step 6: Final answer
    x = 416,525.06

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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.