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Finding the Fourth Proportional to 294,881, 442,321.50 and 73,265

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Solution

The fourth proportional to 294,881, 442,321.50 and 73,265 is: 109,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,881 : 442,321.50 = 73,265 : x
  2. Step 2: Convert to fraction form
    294,881/442,321.50 = 73,265/x
  3. Step 3: Cross multiply
    294,881x = 442,321.50 × 73,265
  4. Step 4: Simplify right side
    294,881x = 32,406,684,697.50
  5. Step 5: Solve for x
    x = 32,406,684,697.50/294,881
  6. Step 6: Final answer
    x = 109,897.50

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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.