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Finding the Fourth Proportional to 299,506.14, 413,335.31 and 163,552.77

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Solution

The fourth proportional to 299,506.14, 413,335.31 and 163,552.77 is: 225,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,506.14 : 413,335.31 = 163,552.77 : x
  2. Step 2: Convert to fraction form
    299,506.14/413,335.31 = 163,552.77/x
  3. Step 3: Cross multiply
    299,506.14x = 413,335.31 × 163,552.77
  4. Step 4: Simplify right side
    299,506.14x = 67,602,134,071.54
  5. Step 5: Solve for x
    x = 67,602,134,071.54/299,506.14
  6. Step 6: Final answer
    x = 225,712.01

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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.