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Finding the Fourth Proportional to 678,203.64, 935,922.38 and 402,616.78

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Solution

The fourth proportional to 678,203.64, 935,922.38 and 402,616.78 is: 555,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,203.64 : 935,922.38 = 402,616.78 : x
  2. Step 2: Convert to fraction form
    678,203.64/935,922.38 = 402,616.78/x
  3. Step 3: Cross multiply
    678,203.64x = 935,922.38 × 402,616.78
  4. Step 4: Simplify right side
    678,203.64x = 376,818,050,612.65
  5. Step 5: Solve for x
    x = 376,818,050,612.65/678,203.64
  6. Step 6: Final answer
    x = 555,611.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.