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Finding the Fourth Proportional to 456,668.32, 684,832.56 and 157,064.80

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Solution

The fourth proportional to 456,668.32, 684,832.56 and 157,064.80 is: 235,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,668.32 : 684,832.56 = 157,064.80 : x
  2. Step 2: Convert to fraction form
    456,668.32/684,832.56 = 157,064.80/x
  3. Step 3: Cross multiply
    456,668.32x = 684,832.56 × 157,064.80
  4. Step 4: Simplify right side
    456,668.32x = 107,563,089,069.89
  5. Step 5: Solve for x
    x = 107,563,089,069.89/456,668.32
  6. Step 6: Final answer
    x = 235,538.76

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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.