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Finding the Fourth Proportional to 356,503.80, 535,058.10 and 146,292.60

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Solution

The fourth proportional to 356,503.80, 535,058.10 and 146,292.60 is: 219,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,503.80 : 535,058.10 = 146,292.60 : x
  2. Step 2: Convert to fraction form
    356,503.80/535,058.10 = 146,292.60/x
  3. Step 3: Cross multiply
    356,503.80x = 535,058.10 × 146,292.60
  4. Step 4: Simplify right side
    356,503.80x = 78,275,040,600.06
  5. Step 5: Solve for x
    x = 78,275,040,600.06/356,503.80
  6. Step 6: Final answer
    x = 219,562.99

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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.