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Finding the Fourth Proportional to 294,904.30, 442,356.45 and 161,733.10

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Solution

The fourth proportional to 294,904.30, 442,356.45 and 161,733.10 is: 242,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,904.30 : 442,356.45 = 161,733.10 : x
  2. Step 2: Convert to fraction form
    294,904.30/442,356.45 = 161,733.10/x
  3. Step 3: Cross multiply
    294,904.30x = 442,356.45 × 161,733.10
  4. Step 4: Simplify right side
    294,904.30x = 71,543,679,963.50
  5. Step 5: Solve for x
    x = 71,543,679,963.50/294,904.30
  6. Step 6: Final answer
    x = 242,599.65

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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.