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Finding the Fourth Proportional to 577,712.24, 866,199.06 and 277,595.60

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Solution

The fourth proportional to 577,712.24, 866,199.06 and 277,595.60 is: 416,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,712.24 : 866,199.06 = 277,595.60 : x
  2. Step 2: Convert to fraction form
    577,712.24/866,199.06 = 277,595.60/x
  3. Step 3: Cross multiply
    577,712.24x = 866,199.06 × 277,595.60
  4. Step 4: Simplify right side
    577,712.24x = 240,453,047,780.14
  5. Step 5: Solve for x
    x = 240,453,047,780.14/577,712.24
  6. Step 6: Final answer
    x = 416,215.95

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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.