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Finding the Fourth Proportional to 584,264.48, 806,285.52 and 315,992.48

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Solution

The fourth proportional to 584,264.48, 806,285.52 and 315,992.48 is: 436,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,264.48 : 806,285.52 = 315,992.48 : x
  2. Step 2: Convert to fraction form
    584,264.48/806,285.52 = 315,992.48/x
  3. Step 3: Cross multiply
    584,264.48x = 806,285.52 × 315,992.48
  4. Step 4: Simplify right side
    584,264.48x = 254,780,161,052.89
  5. Step 5: Solve for x
    x = 254,780,161,052.89/584,264.48
  6. Step 6: Final answer
    x = 436,069.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.