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Finding the Fourth Proportional to 343,106.40, 473,327.52 and 222,288.48

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Solution

The fourth proportional to 343,106.40, 473,327.52 and 222,288.48 is: 306,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,106.40 : 473,327.52 = 222,288.48 : x
  2. Step 2: Convert to fraction form
    343,106.40/473,327.52 = 222,288.48/x
  3. Step 3: Cross multiply
    343,106.40x = 473,327.52 × 222,288.48
  4. Step 4: Simplify right side
    343,106.40x = 105,215,254,962.97
  5. Step 5: Solve for x
    x = 105,215,254,962.97/343,106.40
  6. Step 6: Final answer
    x = 306,654.89

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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.