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Finding the Fourth Proportional to 540,876.25, 811,141.84 and 185,804.65

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Solution

The fourth proportional to 540,876.25, 811,141.84 and 185,804.65 is: 278,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,876.25 : 811,141.84 = 185,804.65 : x
  2. Step 2: Convert to fraction form
    540,876.25/811,141.84 = 185,804.65/x
  3. Step 3: Cross multiply
    540,876.25x = 811,141.84 × 185,804.65
  4. Step 4: Simplify right side
    540,876.25x = 150,713,925,681.56
  5. Step 5: Solve for x
    x = 150,713,925,681.56/540,876.25
  6. Step 6: Final answer
    x = 278,647.70

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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.