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Finding the Fourth Proportional to 823,896.20, 1,234,461.90 and 402,264.20

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Solution

The fourth proportional to 823,896.20, 1,234,461.90 and 402,264.20 is: 602,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,896.20 : 1,234,461.90 = 402,264.20 : x
  2. Step 2: Convert to fraction form
    823,896.20/1,234,461.90 = 402,264.20/x
  3. Step 3: Cross multiply
    823,896.20x = 1,234,461.90 × 402,264.20
  4. Step 4: Simplify right side
    823,896.20x = 496,579,828,633.98
  5. Step 5: Solve for x
    x = 496,579,828,633.98/823,896.20
  6. Step 6: Final answer
    x = 602,721.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.