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Finding the Fourth Proportional to 428,545.46, 591,399.38 and 234,970.83

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Solution

The fourth proportional to 428,545.46, 591,399.38 and 234,970.83 is: 324,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,545.46 : 591,399.38 = 234,970.83 : x
  2. Step 2: Convert to fraction form
    428,545.46/591,399.38 = 234,970.83/x
  3. Step 3: Cross multiply
    428,545.46x = 591,399.38 × 234,970.83
  4. Step 4: Simplify right side
    428,545.46x = 138,961,603,767.51
  5. Step 5: Solve for x
    x = 138,961,603,767.51/428,545.46
  6. Step 6: Final answer
    x = 324,263.39

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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.