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Finding the Fourth Proportional to 294,900, 442,350.03 and 73,284

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Solution

The fourth proportional to 294,900, 442,350.03 and 73,284 is: 109,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,900 : 442,350.03 = 73,284 : x
  2. Step 2: Convert to fraction form
    294,900/442,350.03 = 73,284/x
  3. Step 3: Cross multiply
    294,900x = 442,350.03 × 73,284
  4. Step 4: Simplify right side
    294,900x = 32,417,179,598.52
  5. Step 5: Solve for x
    x = 32,417,179,598.52/294,900
  6. Step 6: Final answer
    x = 109,926.01

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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.