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Finding the Fourth Proportional to 294,715.40, 442,073.10 and 95,042.30

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Solution

The fourth proportional to 294,715.40, 442,073.10 and 95,042.30 is: 142,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,715.40 : 442,073.10 = 95,042.30 : x
  2. Step 2: Convert to fraction form
    294,715.40/442,073.10 = 95,042.30/x
  3. Step 3: Cross multiply
    294,715.40x = 442,073.10 × 95,042.30
  4. Step 4: Simplify right side
    294,715.40x = 42,015,644,192.13
  5. Step 5: Solve for x
    x = 42,015,644,192.13/294,715.40
  6. Step 6: Final answer
    x = 142,563.45

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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.