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Finding the Fourth Proportional to 437,565.64, 656,459.14 and 122,022.58

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Solution

The fourth proportional to 437,565.64, 656,459.14 and 122,022.58 is: 183,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,565.64 : 656,459.14 = 122,022.58 : x
  2. Step 2: Convert to fraction form
    437,565.64/656,459.14 = 122,022.58/x
  3. Step 3: Cross multiply
    437,565.64x = 656,459.14 × 122,022.58
  4. Step 4: Simplify right side
    437,565.64x = 80,102,837,927.38
  5. Step 5: Solve for x
    x = 80,102,837,927.38/437,565.64
  6. Step 6: Final answer
    x = 183,064.73

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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.