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Finding the Fourth Proportional to 423,268.92, 584,120.70 and 232,294.50

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Solution

The fourth proportional to 423,268.92, 584,120.70 and 232,294.50 is: 320,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,268.92 : 584,120.70 = 232,294.50 : x
  2. Step 2: Convert to fraction form
    423,268.92/584,120.70 = 232,294.50/x
  3. Step 3: Cross multiply
    423,268.92x = 584,120.70 × 232,294.50
  4. Step 4: Simplify right side
    423,268.92x = 135,688,025,946.15
  5. Step 5: Solve for x
    x = 135,688,025,946.15/423,268.92
  6. Step 6: Final answer
    x = 320,571.67

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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.