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Finding the Fourth Proportional to 287,312.86, 396,492.33 and 159,993.01

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Solution

The fourth proportional to 287,312.86, 396,492.33 and 159,993.01 is: 220,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,312.86 : 396,492.33 = 159,993.01 : x
  2. Step 2: Convert to fraction form
    287,312.86/396,492.33 = 159,993.01/x
  3. Step 3: Cross multiply
    287,312.86x = 396,492.33 × 159,993.01
  4. Step 4: Simplify right side
    287,312.86x = 63,436,001,318.61
  5. Step 5: Solve for x
    x = 63,436,001,318.61/287,312.86
  6. Step 6: Final answer
    x = 220,790.68

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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.