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Finding the Fourth Proportional to 514,859.80, 774,363.30 and 460,946.20

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Solution

The fourth proportional to 514,859.80, 774,363.30 and 460,946.20 is: 693,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,859.80 : 774,363.30 = 460,946.20 : x
  2. Step 2: Convert to fraction form
    514,859.80/774,363.30 = 460,946.20/x
  3. Step 3: Cross multiply
    514,859.80x = 774,363.30 × 460,946.20
  4. Step 4: Simplify right side
    514,859.80x = 356,939,820,554.46
  5. Step 5: Solve for x
    x = 356,939,820,554.46/514,859.80
  6. Step 6: Final answer
    x = 693,275.76

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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.