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Finding the Fourth Proportional to 347,843.20, 521,822.40 and 148,259.20

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Solution

The fourth proportional to 347,843.20, 521,822.40 and 148,259.20 is: 222,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,843.20 : 521,822.40 = 148,259.20 : x
  2. Step 2: Convert to fraction form
    347,843.20/521,822.40 = 148,259.20/x
  3. Step 3: Cross multiply
    347,843.20x = 521,822.40 × 148,259.20
  4. Step 4: Simplify right side
    347,843.20x = 77,364,971,566.08
  5. Step 5: Solve for x
    x = 77,364,971,566.08/347,843.20
  6. Step 6: Final answer
    x = 222,413.35

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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.