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Finding the Fourth Proportional to 714,860.09, 986,510.23 and 408,939.83

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Solution

The fourth proportional to 714,860.09, 986,510.23 and 408,939.83 is: 564,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,860.09 : 986,510.23 = 408,939.83 : x
  2. Step 2: Convert to fraction form
    714,860.09/986,510.23 = 408,939.83/x
  3. Step 3: Cross multiply
    714,860.09x = 986,510.23 × 408,939.83
  4. Step 4: Simplify right side
    714,860.09x = 403,423,319,794.56
  5. Step 5: Solve for x
    x = 403,423,319,794.56/714,860.09
  6. Step 6: Final answer
    x = 564,338.85

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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.