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Finding the Fourth Proportional to 514,856.80, 774,358.80 and 460,943.20

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Solution

The fourth proportional to 514,856.80, 774,358.80 and 460,943.20 is: 693,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,856.80 : 774,358.80 = 460,943.20 : x
  2. Step 2: Convert to fraction form
    514,856.80/774,358.80 = 460,943.20/x
  3. Step 3: Cross multiply
    514,856.80x = 774,358.80 × 460,943.20
  4. Step 4: Simplify right side
    514,856.80x = 356,935,423,220.16
  5. Step 5: Solve for x
    x = 356,935,423,220.16/514,856.80
  6. Step 6: Final answer
    x = 693,271.26

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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.