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Finding the Fourth Proportional to 310,565.92, 465,969.84 and 123,596.32

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Solution

The fourth proportional to 310,565.92, 465,969.84 and 123,596.32 is: 185,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,565.92 : 465,969.84 = 123,596.32 : x
  2. Step 2: Convert to fraction form
    310,565.92/465,969.84 = 123,596.32/x
  3. Step 3: Cross multiply
    310,565.92x = 465,969.84 × 123,596.32
  4. Step 4: Simplify right side
    310,565.92x = 57,592,157,454.99
  5. Step 5: Solve for x
    x = 57,592,157,454.99/310,565.92
  6. Step 6: Final answer
    x = 185,442.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.