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Finding the Fourth Proportional to 423,096.92, 634,048.62 and 233,642.58

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Solution

The fourth proportional to 423,096.92, 634,048.62 and 233,642.58 is: 350,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,096.92 : 634,048.62 = 233,642.58 : x
  2. Step 2: Convert to fraction form
    423,096.92/634,048.62 = 233,642.58/x
  3. Step 3: Cross multiply
    423,096.92x = 634,048.62 × 233,642.58
  4. Step 4: Simplify right side
    423,096.92x = 148,140,753,811.20
  5. Step 5: Solve for x
    x = 148,140,753,811.20/423,096.92
  6. Step 6: Final answer
    x = 350,134.32

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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.