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Finding the Fourth Proportional to 290,833.20, 435,904.20 and 122,353.20

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Solution

The fourth proportional to 290,833.20, 435,904.20 and 122,353.20 is: 183,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,833.20 : 435,904.20 = 122,353.20 : x
  2. Step 2: Convert to fraction form
    290,833.20/435,904.20 = 122,353.20/x
  3. Step 3: Cross multiply
    290,833.20x = 435,904.20 × 122,353.20
  4. Step 4: Simplify right side
    290,833.20x = 53,334,273,763.44
  5. Step 5: Solve for x
    x = 53,334,273,763.44/290,833.20
  6. Step 6: Final answer
    x = 183,384.41

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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.