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Finding the Fourth Proportional to 299,950.32, 413,931.38 and 163,984.88

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Solution

The fourth proportional to 299,950.32, 413,931.38 and 163,984.88 is: 226,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,950.32 : 413,931.38 = 163,984.88 : x
  2. Step 2: Convert to fraction form
    299,950.32/413,931.38 = 163,984.88/x
  3. Step 3: Cross multiply
    299,950.32x = 413,931.38 × 163,984.88
  4. Step 4: Simplify right side
    299,950.32x = 67,878,487,677.53
  5. Step 5: Solve for x
    x = 67,878,487,677.53/299,950.32
  6. Step 6: Final answer
    x = 226,299.10

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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.