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Finding the Fourth Proportional to 477,923.21, 717,007.83 and 140,950.25

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Solution

The fourth proportional to 477,923.21, 717,007.83 and 140,950.25 is: 211,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,923.21 : 717,007.83 = 140,950.25 : x
  2. Step 2: Convert to fraction form
    477,923.21/717,007.83 = 140,950.25/x
  3. Step 3: Cross multiply
    477,923.21x = 717,007.83 × 140,950.25
  4. Step 4: Simplify right side
    477,923.21x = 101,062,432,890.46
  5. Step 5: Solve for x
    x = 101,062,432,890.46/477,923.21
  6. Step 6: Final answer
    x = 211,461.65

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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.