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Finding the Fourth Proportional to 257,814.40, 387,758.40 and 230,857.60

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Solution

The fourth proportional to 257,814.40, 387,758.40 and 230,857.60 is: 347,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814.40 : 387,758.40 = 230,857.60 : x
  2. Step 2: Convert to fraction form
    257,814.40/387,758.40 = 230,857.60/x
  3. Step 3: Cross multiply
    257,814.40x = 387,758.40 × 230,857.60
  4. Step 4: Simplify right side
    257,814.40x = 89,516,973,603.84
  5. Step 5: Solve for x
    x = 89,516,973,603.84/257,814.40
  6. Step 6: Final answer
    x = 347,214.79

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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.