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Finding the Fourth Proportional to 493,681.26, 740,023.20 and 194,371.86

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Solution

The fourth proportional to 493,681.26, 740,023.20 and 194,371.86 is: 291,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,681.26 : 740,023.20 = 194,371.86 : x
  2. Step 2: Convert to fraction form
    493,681.26/740,023.20 = 194,371.86/x
  3. Step 3: Cross multiply
    493,681.26x = 740,023.20 × 194,371.86
  4. Step 4: Simplify right side
    493,681.26x = 143,839,685,827.15
  5. Step 5: Solve for x
    x = 143,839,685,827.15/493,681.26
  6. Step 6: Final answer
    x = 291,361.45

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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.