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Finding the Fourth Proportional to 340,255.84, 510,498.24 and 150,689.92

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Solution

The fourth proportional to 340,255.84, 510,498.24 and 150,689.92 is: 226,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,255.84 : 510,498.24 = 150,689.92 : x
  2. Step 2: Convert to fraction form
    340,255.84/510,498.24 = 150,689.92/x
  3. Step 3: Cross multiply
    340,255.84x = 510,498.24 × 150,689.92
  4. Step 4: Simplify right side
    340,255.84x = 76,926,938,945.74
  5. Step 5: Solve for x
    x = 76,926,938,945.74/340,255.84
  6. Step 6: Final answer
    x = 226,085.58

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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.