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Finding the Fourth Proportional to 290,970.32, 436,461.24 and 150,637.52

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Solution

The fourth proportional to 290,970.32, 436,461.24 and 150,637.52 is: 225,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,970.32 : 436,461.24 = 150,637.52 : x
  2. Step 2: Convert to fraction form
    290,970.32/436,461.24 = 150,637.52/x
  3. Step 3: Cross multiply
    290,970.32x = 436,461.24 × 150,637.52
  4. Step 4: Simplify right side
    290,970.32x = 65,747,438,769.72
  5. Step 5: Solve for x
    x = 65,747,438,769.72/290,970.32
  6. Step 6: Final answer
    x = 225,959.26

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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.