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Finding the Fourth Proportional to 294,809.58, 442,214.10 and 92,407.14

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Solution

The fourth proportional to 294,809.58, 442,214.10 and 92,407.14 is: 138,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.58 : 442,214.10 = 92,407.14 : x
  2. Step 2: Convert to fraction form
    294,809.58/442,214.10 = 92,407.14/x
  3. Step 3: Cross multiply
    294,809.58x = 442,214.10 × 92,407.14
  4. Step 4: Simplify right side
    294,809.58x = 40,863,740,248.67
  5. Step 5: Solve for x
    x = 40,863,740,248.67/294,809.58
  6. Step 6: Final answer
    x = 138,610.63

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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.