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Finding the Fourth Proportional to 587,970.64, 881,954.24 and 161,506.87

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Solution

The fourth proportional to 587,970.64, 881,954.24 and 161,506.87 is: 242,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,970.64 : 881,954.24 = 161,506.87 : x
  2. Step 2: Convert to fraction form
    587,970.64/881,954.24 = 161,506.87/x
  3. Step 3: Cross multiply
    587,970.64x = 881,954.24 × 161,506.87
  4. Step 4: Simplify right side
    587,970.64x = 142,441,663,568.32
  5. Step 5: Solve for x
    x = 142,441,663,568.32/587,970.64
  6. Step 6: Final answer
    x = 242,259.83

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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.