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Finding the Fourth Proportional to 583,908.98, 805,822 and 329,254.70

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Solution

The fourth proportional to 583,908.98, 805,822 and 329,254.70 is: 454,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,908.98 : 805,822 = 329,254.70 : x
  2. Step 2: Convert to fraction form
    583,908.98/805,822 = 329,254.70/x
  3. Step 3: Cross multiply
    583,908.98x = 805,822 × 329,254.70
  4. Step 4: Simplify right side
    583,908.98x = 265,320,680,863.40
  5. Step 5: Solve for x
    x = 265,320,680,863.40/583,908.98
  6. Step 6: Final answer
    x = 454,387.05

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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.