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Finding the Fourth Proportional to 294,943, 442,416.18 and 73,327

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Solution

The fourth proportional to 294,943, 442,416.18 and 73,327 is: 109,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943 : 442,416.18 = 73,327 : x
  2. Step 2: Convert to fraction form
    294,943/442,416.18 = 73,327/x
  3. Step 3: Cross multiply
    294,943x = 442,416.18 × 73,327
  4. Step 4: Simplify right side
    294,943x = 32,441,051,230.86
  5. Step 5: Solve for x
    x = 32,441,051,230.86/294,943
  6. Step 6: Final answer
    x = 109,990.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.