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Finding the Fourth Proportional to 413,478.22, 619,823.58 and 132,798.64

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Solution

The fourth proportional to 413,478.22, 619,823.58 and 132,798.64 is: 199,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,478.22 : 619,823.58 = 132,798.64 : x
  2. Step 2: Convert to fraction form
    413,478.22/619,823.58 = 132,798.64/x
  3. Step 3: Cross multiply
    413,478.22x = 619,823.58 × 132,798.64
  4. Step 4: Simplify right side
    413,478.22x = 82,311,728,463.93
  5. Step 5: Solve for x
    x = 82,311,728,463.93/413,478.22
  6. Step 6: Final answer
    x = 199,071.50

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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.