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Finding the Fourth Proportional to 410,973.01, 616,509.33 and 144,679.03

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Solution

The fourth proportional to 410,973.01, 616,509.33 and 144,679.03 is: 217,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,973.01 : 616,509.33 = 144,679.03 : x
  2. Step 2: Convert to fraction form
    410,973.01/616,509.33 = 144,679.03/x
  3. Step 3: Cross multiply
    410,973.01x = 616,509.33 × 144,679.03
  4. Step 4: Simplify right side
    410,973.01x = 89,195,969,766.53
  5. Step 5: Solve for x
    x = 89,195,969,766.53/410,973.01
  6. Step 6: Final answer
    x = 217,036.08

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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.