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Finding the Fourth Proportional to 294,366.35, 442,041.60 and 194,967.20

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Solution

The fourth proportional to 294,366.35, 442,041.60 and 194,967.20 is: 292,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,366.35 : 442,041.60 = 194,967.20 : x
  2. Step 2: Convert to fraction form
    294,366.35/442,041.60 = 194,967.20/x
  3. Step 3: Cross multiply
    294,366.35x = 442,041.60 × 194,967.20
  4. Step 4: Simplify right side
    294,366.35x = 86,183,613,035.52
  5. Step 5: Solve for x
    x = 86,183,613,035.52/294,366.35
  6. Step 6: Final answer
    x = 292,776.72

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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.