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Finding the Fourth Proportional to 583,864.28, 805,732.26 and 315,592.28

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Solution

The fourth proportional to 583,864.28, 805,732.26 and 315,592.28 is: 435,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,864.28 : 805,732.26 = 315,592.28 : x
  2. Step 2: Convert to fraction form
    583,864.28/805,732.26 = 315,592.28/x
  3. Step 3: Cross multiply
    583,864.28x = 805,732.26 × 315,592.28
  4. Step 4: Simplify right side
    583,864.28x = 254,282,881,002.95
  5. Step 5: Solve for x
    x = 254,282,881,002.95/583,864.28
  6. Step 6: Final answer
    x = 435,517.11

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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.