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Finding the Fourth Proportional to 340,894.50, 511,341.82 and 104,237.22

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Solution

The fourth proportional to 340,894.50, 511,341.82 and 104,237.22 is: 156,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,894.50 : 511,341.82 = 104,237.22 : x
  2. Step 2: Convert to fraction form
    340,894.50/511,341.82 = 104,237.22/x
  3. Step 3: Cross multiply
    340,894.50x = 511,341.82 × 104,237.22
  4. Step 4: Simplify right side
    340,894.50x = 53,300,849,786.54
  5. Step 5: Solve for x
    x = 53,300,849,786.54/340,894.50
  6. Step 6: Final answer
    x = 156,355.85

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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.