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Finding the Fourth Proportional to 413,299.86, 619,357.74 and 235,439.64

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Solution

The fourth proportional to 413,299.86, 619,357.74 and 235,439.64 is: 352,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,299.86 : 619,357.74 = 235,439.64 : x
  2. Step 2: Convert to fraction form
    413,299.86/619,357.74 = 235,439.64/x
  3. Step 3: Cross multiply
    413,299.86x = 619,357.74 × 235,439.64
  4. Step 4: Simplify right side
    413,299.86x = 145,821,363,336.81
  5. Step 5: Solve for x
    x = 145,821,363,336.81/413,299.86
  6. Step 6: Final answer
    x = 352,822.19

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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.