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Finding the Fourth Proportional to 577,625.60, 866,069.35 and 277,509.06

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Solution

The fourth proportional to 577,625.60, 866,069.35 and 277,509.06 is: 416,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,625.60 : 866,069.35 = 277,509.06 : x
  2. Step 2: Convert to fraction form
    577,625.60/866,069.35 = 277,509.06/x
  3. Step 3: Cross multiply
    577,625.60x = 866,069.35 × 277,509.06
  4. Step 4: Simplify right side
    577,625.60x = 240,342,090,519.54
  5. Step 5: Solve for x
    x = 240,342,090,519.54/577,625.60
  6. Step 6: Final answer
    x = 416,086.28

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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.