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Finding the Fourth Proportional to 412,426.48, 569,121.60 and 242,627.80

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Solution

The fourth proportional to 412,426.48, 569,121.60 and 242,627.80 is: 334,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,426.48 : 569,121.60 = 242,627.80 : x
  2. Step 2: Convert to fraction form
    412,426.48/569,121.60 = 242,627.80/x
  3. Step 3: Cross multiply
    412,426.48x = 569,121.60 × 242,627.80
  4. Step 4: Simplify right side
    412,426.48x = 138,084,721,740.48
  5. Step 5: Solve for x
    x = 138,084,721,740.48/412,426.48
  6. Step 6: Final answer
    x = 334,810.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.