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Finding the Fourth Proportional to 471,060.84, 705,701.19 and 278,360.46

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Solution

The fourth proportional to 471,060.84, 705,701.19 and 278,360.46 is: 417,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,060.84 : 705,701.19 = 278,360.46 : x
  2. Step 2: Convert to fraction form
    471,060.84/705,701.19 = 278,360.46/x
  3. Step 3: Cross multiply
    471,060.84x = 705,701.19 × 278,360.46
  4. Step 4: Simplify right side
    471,060.84x = 196,439,307,870.95
  5. Step 5: Solve for x
    x = 196,439,307,870.95/471,060.84
  6. Step 6: Final answer
    x = 417,014.73

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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.