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Finding the Fourth Proportional to 583,293.75, 804,945.38 and 315,021.75

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Solution

The fourth proportional to 583,293.75, 804,945.38 and 315,021.75 is: 434,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,293.75 : 804,945.38 = 315,021.75 : x
  2. Step 2: Convert to fraction form
    583,293.75/804,945.38 = 315,021.75/x
  3. Step 3: Cross multiply
    583,293.75x = 804,945.38 × 315,021.75
  4. Step 4: Simplify right side
    583,293.75x = 253,575,302,262.02
  5. Step 5: Solve for x
    x = 253,575,302,262.02/583,293.75
  6. Step 6: Final answer
    x = 434,730.02

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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.