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Finding the Fourth Proportional to 307,455.62, 461,323.54 and 157,800.98

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Solution

The fourth proportional to 307,455.62, 461,323.54 and 157,800.98 is: 236,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,455.62 : 461,323.54 = 157,800.98 : x
  2. Step 2: Convert to fraction form
    307,455.62/461,323.54 = 157,800.98/x
  3. Step 3: Cross multiply
    307,455.62x = 461,323.54 × 157,800.98
  4. Step 4: Simplify right side
    307,455.62x = 72,797,306,709.07
  5. Step 5: Solve for x
    x = 72,797,306,709.07/307,455.62
  6. Step 6: Final answer
    x = 236,773.38

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1.5x scale

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.