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Finding the Fourth Proportional to 410,715.40, 616,164.90 and 144,484.60

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Solution

The fourth proportional to 410,715.40, 616,164.90 and 144,484.60 is: 216,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,715.40 : 616,164.90 = 144,484.60 : x
  2. Step 2: Convert to fraction form
    410,715.40/616,164.90 = 144,484.60/x
  3. Step 3: Cross multiply
    410,715.40x = 616,164.90 × 144,484.60
  4. Step 4: Simplify right side
    410,715.40x = 89,026,339,110.54
  5. Step 5: Solve for x
    x = 89,026,339,110.54/410,715.40
  6. Step 6: Final answer
    x = 216,759.19

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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.