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Finding the Fourth Proportional to 578,732.80, 869,429.63 and 408,346.67

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Solution

The fourth proportional to 578,732.80, 869,429.63 and 408,346.67 is: 613,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,732.80 : 869,429.63 = 408,346.67 : x
  2. Step 2: Convert to fraction form
    578,732.80/869,429.63 = 408,346.67/x
  3. Step 3: Cross multiply
    578,732.80x = 869,429.63 × 408,346.67
  4. Step 4: Simplify right side
    578,732.80x = 355,028,694,209.83
  5. Step 5: Solve for x
    x = 355,028,694,209.83/578,732.80
  6. Step 6: Final answer
    x = 613,458.74

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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.