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Finding the Fourth Proportional to 514,907.26, 772,171.28 and 177,861.40

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Solution

The fourth proportional to 514,907.26, 772,171.28 and 177,861.40 is: 266,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,907.26 : 772,171.28 = 177,861.40 : x
  2. Step 2: Convert to fraction form
    514,907.26/772,171.28 = 177,861.40/x
  3. Step 3: Cross multiply
    514,907.26x = 772,171.28 × 177,861.40
  4. Step 4: Simplify right side
    514,907.26x = 137,339,464,900.59
  5. Step 5: Solve for x
    x = 137,339,464,900.59/514,907.26
  6. Step 6: Final answer
    x = 266,726.60

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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.