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Finding the Fourth Proportional to 451,870.65, 677,807.19 and 185,444.24

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Solution

The fourth proportional to 451,870.65, 677,807.19 and 185,444.24 is: 278,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870.65 : 677,807.19 = 185,444.24 : x
  2. Step 2: Convert to fraction form
    451,870.65/677,807.19 = 185,444.24/x
  3. Step 3: Cross multiply
    451,870.65x = 677,807.19 × 185,444.24
  4. Step 4: Simplify right side
    451,870.65x = 125,695,435,827.05
  5. Step 5: Solve for x
    x = 125,695,435,827.05/451,870.65
  6. Step 6: Final answer
    x = 278,166.85

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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.