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Finding the Fourth Proportional to 578,050.02, 866,352.84 and 278,474.76

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Solution

The fourth proportional to 578,050.02, 866,352.84 and 278,474.76 is: 417,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,050.02 : 866,352.84 = 278,474.76 : x
  2. Step 2: Convert to fraction form
    578,050.02/866,352.84 = 278,474.76/x
  3. Step 3: Cross multiply
    578,050.02x = 866,352.84 × 278,474.76
  4. Step 4: Simplify right side
    578,050.02x = 241,257,399,194.32
  5. Step 5: Solve for x
    x = 241,257,399,194.32/578,050.02
  6. Step 6: Final answer
    x = 417,364.23

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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.