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Finding the Fourth Proportional to 458,662.32, 687,465.36 and 177,942.24

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Solution

The fourth proportional to 458,662.32, 687,465.36 and 177,942.24 is: 266,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,662.32 : 687,465.36 = 177,942.24 : x
  2. Step 2: Convert to fraction form
    458,662.32/687,465.36 = 177,942.24/x
  3. Step 3: Cross multiply
    458,662.32x = 687,465.36 × 177,942.24
  4. Step 4: Simplify right side
    458,662.32x = 122,329,126,080.81
  5. Step 5: Solve for x
    x = 122,329,126,080.81/458,662.32
  6. Step 6: Final answer
    x = 266,708.47

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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.