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Finding the Fourth Proportional to 291,282.30, 436,937.85 and 151,314.30

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Solution

The fourth proportional to 291,282.30, 436,937.85 and 151,314.30 is: 226,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,282.30 : 436,937.85 = 151,314.30 : x
  2. Step 2: Convert to fraction form
    291,282.30/436,937.85 = 151,314.30/x
  3. Step 3: Cross multiply
    291,282.30x = 436,937.85 × 151,314.30
  4. Step 4: Simplify right side
    291,282.30x = 66,114,944,916.26
  5. Step 5: Solve for x
    x = 66,114,944,916.26/291,282.30
  6. Step 6: Final answer
    x = 226,978.93

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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.