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Finding the Fourth Proportional to 583,292.75, 804,944 and 315,020.75

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Solution

The fourth proportional to 583,292.75, 804,944 and 315,020.75 is: 434,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,292.75 : 804,944 = 315,020.75 : x
  2. Step 2: Convert to fraction form
    583,292.75/804,944 = 315,020.75/x
  3. Step 3: Cross multiply
    583,292.75x = 804,944 × 315,020.75
  4. Step 4: Simplify right side
    583,292.75x = 253,574,062,588
  5. Step 5: Solve for x
    x = 253,574,062,588/583,292.75
  6. Step 6: Final answer
    x = 434,728.64

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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.