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Finding the Fourth Proportional to 583,306.31, 804,963.02 and 315,034.31

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Solution

The fourth proportional to 583,306.31, 804,963.02 and 315,034.31 is: 434,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,306.31 : 804,963.02 = 315,034.31 : x
  2. Step 2: Convert to fraction form
    583,306.31/804,963.02 = 315,034.31/x
  3. Step 3: Cross multiply
    583,306.31x = 804,963.02 × 315,034.31
  4. Step 4: Simplify right side
    583,306.31x = 253,590,970,018.45
  5. Step 5: Solve for x
    x = 253,590,970,018.45/583,306.31
  6. Step 6: Final answer
    x = 434,747.52

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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.