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Finding the Fourth Proportional to 514,852.80, 774,352.80 and 460,939.20

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Solution

The fourth proportional to 514,852.80, 774,352.80 and 460,939.20 is: 693,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,852.80 : 774,352.80 = 460,939.20 : x
  2. Step 2: Convert to fraction form
    514,852.80/774,352.80 = 460,939.20/x
  3. Step 3: Cross multiply
    514,852.80x = 774,352.80 × 460,939.20
  4. Step 4: Simplify right side
    514,852.80x = 356,929,560,149.76
  5. Step 5: Solve for x
    x = 356,929,560,149.76/514,852.80
  6. Step 6: Final answer
    x = 693,265.26

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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.