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Finding the Fourth Proportional to 427,532.96, 640,803.72 and 161,122.88

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Solution

The fourth proportional to 427,532.96, 640,803.72 and 161,122.88 is: 241,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,532.96 : 640,803.72 = 161,122.88 : x
  2. Step 2: Convert to fraction form
    427,532.96/640,803.72 = 161,122.88/x
  3. Step 3: Cross multiply
    427,532.96x = 640,803.72 × 161,122.88
  4. Step 4: Simplify right side
    427,532.96x = 103,248,140,881.11
  5. Step 5: Solve for x
    x = 103,248,140,881.11/427,532.96
  6. Step 6: Final answer
    x = 241,497.50

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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.