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Finding the Fourth Proportional to 514,939.77, 772,220.01 and 177,893.91

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Solution

The fourth proportional to 514,939.77, 772,220.01 and 177,893.91 is: 266,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,939.77 : 772,220.01 = 177,893.91 : x
  2. Step 2: Convert to fraction form
    514,939.77/772,220.01 = 177,893.91/x
  3. Step 3: Cross multiply
    514,939.77x = 772,220.01 × 177,893.91
  4. Step 4: Simplify right side
    514,939.77x = 137,373,236,959.14
  5. Step 5: Solve for x
    x = 137,373,236,959.14/514,939.77
  6. Step 6: Final answer
    x = 266,775.35

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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.