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Finding the Fourth Proportional to 427,564.40, 640,945.65 and 161,503.70

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Solution

The fourth proportional to 427,564.40, 640,945.65 and 161,503.70 is: 242,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,564.40 : 640,945.65 = 161,503.70 : x
  2. Step 2: Convert to fraction form
    427,564.40/640,945.65 = 161,503.70/x
  3. Step 3: Cross multiply
    427,564.40x = 640,945.65 × 161,503.70
  4. Step 4: Simplify right side
    427,564.40x = 103,515,093,973.91
  5. Step 5: Solve for x
    x = 103,515,093,973.91/427,564.40
  6. Step 6: Final answer
    x = 242,104.10

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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.