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Finding the Fourth Proportional to 356,243.84, 491,949.48 and 229,140.08

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Solution

The fourth proportional to 356,243.84, 491,949.48 and 229,140.08 is: 316,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,243.84 : 491,949.48 = 229,140.08 : x
  2. Step 2: Convert to fraction form
    356,243.84/491,949.48 = 229,140.08/x
  3. Step 3: Cross multiply
    356,243.84x = 491,949.48 × 229,140.08
  4. Step 4: Simplify right side
    356,243.84x = 112,725,343,203.16
  5. Step 5: Solve for x
    x = 112,725,343,203.16/356,243.84
  6. Step 6: Final answer
    x = 316,427.49

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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.