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Finding the Fourth Proportional to 514,042.39, 771,235.81 and 177,315.48

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Solution

The fourth proportional to 514,042.39, 771,235.81 and 177,315.48 is: 266,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,042.39 : 771,235.81 = 177,315.48 : x
  2. Step 2: Convert to fraction form
    514,042.39/771,235.81 = 177,315.48/x
  3. Step 3: Cross multiply
    514,042.39x = 771,235.81 × 177,315.48
  4. Step 4: Simplify right side
    514,042.39x = 136,752,043,543.87
  5. Step 5: Solve for x
    x = 136,752,043,543.87/514,042.39
  6. Step 6: Final answer
    x = 266,032.62

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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.