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Finding the Fourth Proportional to 583,435, 805,141.02 and 315,163

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Solution

The fourth proportional to 583,435, 805,141.02 and 315,163 is: 434,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,435 : 805,141.02 = 315,163 : x
  2. Step 2: Convert to fraction form
    583,435/805,141.02 = 315,163/x
  3. Step 3: Cross multiply
    583,435x = 805,141.02 × 315,163
  4. Step 4: Simplify right side
    583,435x = 253,750,659,286.26
  5. Step 5: Solve for x
    x = 253,750,659,286.26/583,435
  6. Step 6: Final answer
    x = 434,925.33

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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.