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Finding the Fourth Proportional to 296,646.75, 444,966.30 and 72,009

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Solution

The fourth proportional to 296,646.75, 444,966.30 and 72,009 is: 108,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.75 : 444,966.30 = 72,009 : x
  2. Step 2: Convert to fraction form
    296,646.75/444,966.30 = 72,009/x
  3. Step 3: Cross multiply
    296,646.75x = 444,966.30 × 72,009
  4. Step 4: Simplify right side
    296,646.75x = 32,041,578,296.70
  5. Step 5: Solve for x
    x = 32,041,578,296.70/296,646.75
  6. Step 6: Final answer
    x = 108,012.57

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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.