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Finding the Fourth Proportional to 423,031, 634,478.42 and 123,441.24

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Solution

The fourth proportional to 423,031, 634,478.42 and 123,441.24 is: 185,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,031 : 634,478.42 = 123,441.24 : x
  2. Step 2: Convert to fraction form
    423,031/634,478.42 = 123,441.24/x
  3. Step 3: Cross multiply
    423,031x = 634,478.42 × 123,441.24
  4. Step 4: Simplify right side
    423,031x = 78,320,802,918.04
  5. Step 5: Solve for x
    x = 78,320,802,918.04/423,031
  6. Step 6: Final answer
    x = 185,141.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.