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Finding the Fourth Proportional to 412,422.48, 569,116.08 and 242,623.80

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Solution

The fourth proportional to 412,422.48, 569,116.08 and 242,623.80 is: 334,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,422.48 : 569,116.08 = 242,623.80 : x
  2. Step 2: Convert to fraction form
    412,422.48/569,116.08 = 242,623.80/x
  3. Step 3: Cross multiply
    412,422.48x = 569,116.08 × 242,623.80
  4. Step 4: Simplify right side
    412,422.48x = 138,081,105,970.70
  5. Step 5: Solve for x
    x = 138,081,105,970.70/412,422.48
  6. Step 6: Final answer
    x = 334,804.99

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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.