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Finding the Fourth Proportional to 288,358.68, 432,538.03 and 78,013.02

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Solution

The fourth proportional to 288,358.68, 432,538.03 and 78,013.02 is: 117,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,358.68 : 432,538.03 = 78,013.02 : x
  2. Step 2: Convert to fraction form
    288,358.68/432,538.03 = 78,013.02/x
  3. Step 3: Cross multiply
    288,358.68x = 432,538.03 × 78,013.02
  4. Step 4: Simplify right side
    288,358.68x = 33,743,599,265.86
  5. Step 5: Solve for x
    x = 33,743,599,265.86/288,358.68
  6. Step 6: Final answer
    x = 117,019.54

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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.