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Finding the Fourth Proportional to 294,924.19, 442,387.90 and 73,308.19

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Solution

The fourth proportional to 294,924.19, 442,387.90 and 73,308.19 is: 109,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924.19 : 442,387.90 = 73,308.19 : x
  2. Step 2: Convert to fraction form
    294,924.19/442,387.90 = 73,308.19/x
  3. Step 3: Cross multiply
    294,924.19x = 442,387.90 × 73,308.19
  4. Step 4: Simplify right side
    294,924.19x = 32,430,656,226.90
  5. Step 5: Solve for x
    x = 32,430,656,226.90/294,924.19
  6. Step 6: Final answer
    x = 109,962.69

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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.