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Finding the Fourth Proportional to 412,456, 569,102.88 and 242,708.80

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Solution

The fourth proportional to 412,456, 569,102.88 and 242,708.80 is: 334,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,456 : 569,102.88 = 242,708.80 : x
  2. Step 2: Convert to fraction form
    412,456/569,102.88 = 242,708.80/x
  3. Step 3: Cross multiply
    412,456x = 569,102.88 × 242,708.80
  4. Step 4: Simplify right side
    412,456x = 138,126,277,081.34
  5. Step 5: Solve for x
    x = 138,126,277,081.34/412,456
  6. Step 6: Final answer
    x = 334,887.30

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