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Finding the Fourth Proportional to 514,860.80, 774,364.80 and 460,947.20

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Solution

The fourth proportional to 514,860.80, 774,364.80 and 460,947.20 is: 693,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,860.80 : 774,364.80 = 460,947.20 : x
  2. Step 2: Convert to fraction form
    514,860.80/774,364.80 = 460,947.20/x
  3. Step 3: Cross multiply
    514,860.80x = 774,364.80 × 460,947.20
  4. Step 4: Simplify right side
    514,860.80x = 356,941,286,338.56
  5. Step 5: Solve for x
    x = 356,941,286,338.56/514,860.80
  6. Step 6: Final answer
    x = 693,277.26

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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.