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Finding the Fourth Proportional to 284,309.64, 426,722.40 and 151,301.88

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Solution

The fourth proportional to 284,309.64, 426,722.40 and 151,301.88 is: 227,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,309.64 : 426,722.40 = 151,301.88 : x
  2. Step 2: Convert to fraction form
    284,309.64/426,722.40 = 151,301.88/x
  3. Step 3: Cross multiply
    284,309.64x = 426,722.40 × 151,301.88
  4. Step 4: Simplify right side
    284,309.64x = 64,563,901,358.11
  5. Step 5: Solve for x
    x = 64,563,901,358.11/284,309.64
  6. Step 6: Final answer
    x = 227,090.09

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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.