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Finding the Fourth Proportional to 299,534.09, 413,341.63 and 163,541.82

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Solution

The fourth proportional to 299,534.09, 413,341.63 and 163,541.82 is: 225,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534.09 : 413,341.63 = 163,541.82 : x
  2. Step 2: Convert to fraction form
    299,534.09/413,341.63 = 163,541.82/x
  3. Step 3: Cross multiply
    299,534.09x = 413,341.63 × 163,541.82
  4. Step 4: Simplify right side
    299,534.09x = 67,598,642,043.11
  5. Step 5: Solve for x
    x = 67,598,642,043.11/299,534.09
  6. Step 6: Final answer
    x = 225,679.30

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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.