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Finding the Fourth Proportional to 291,547.92, 437,383.25 and 165,248.68

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Solution

The fourth proportional to 291,547.92, 437,383.25 and 165,248.68 is: 247,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,547.92 : 437,383.25 = 165,248.68 : x
  2. Step 2: Convert to fraction form
    291,547.92/437,383.25 = 165,248.68/x
  3. Step 3: Cross multiply
    291,547.92x = 437,383.25 × 165,248.68
  4. Step 4: Simplify right side
    291,547.92x = 72,277,004,716.61
  5. Step 5: Solve for x
    x = 72,277,004,716.61/291,547.92
  6. Step 6: Final answer
    x = 247,907.80

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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.