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Finding the Fourth Proportional to 291,547.42, 437,321.14 and 166,800.94

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Solution

The fourth proportional to 291,547.42, 437,321.14 and 166,800.94 is: 250,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,547.42 : 437,321.14 = 166,800.94 : x
  2. Step 2: Convert to fraction form
    291,547.42/437,321.14 = 166,800.94/x
  3. Step 3: Cross multiply
    291,547.42x = 437,321.14 × 166,800.94
  4. Step 4: Simplify right side
    291,547.42x = 72,945,575,723.57
  5. Step 5: Solve for x
    x = 72,945,575,723.57/291,547.42
  6. Step 6: Final answer
    x = 250,201.41

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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.