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Finding the Fourth Proportional to 583,234, 804,862.92 and 314,962

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Solution

The fourth proportional to 583,234, 804,862.92 and 314,962 is: 434,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,234 : 804,862.92 = 314,962 : x
  2. Step 2: Convert to fraction form
    583,234/804,862.92 = 314,962/x
  3. Step 3: Cross multiply
    583,234x = 804,862.92 × 314,962
  4. Step 4: Simplify right side
    583,234x = 253,501,235,009.04
  5. Step 5: Solve for x
    x = 253,501,235,009.04/583,234
  6. Step 6: Final answer
    x = 434,647.56

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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.