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Finding the Fourth Proportional to 583,351, 805,024.92 and 315,079

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Solution

The fourth proportional to 583,351, 805,024.92 and 315,079 is: 434,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,351 : 805,024.92 = 315,079 : x
  2. Step 2: Convert to fraction form
    583,351/805,024.92 = 315,079/x
  3. Step 3: Cross multiply
    583,351x = 805,024.92 × 315,079
  4. Step 4: Simplify right side
    583,351x = 253,646,446,768.68
  5. Step 5: Solve for x
    x = 253,646,446,768.68/583,351
  6. Step 6: Final answer
    x = 434,809.31

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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.