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Finding the Fourth Proportional to 288,756.65, 433,127.61 and 78,389.12

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Solution

The fourth proportional to 288,756.65, 433,127.61 and 78,389.12 is: 117,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,756.65 : 433,127.61 = 78,389.12 : x
  2. Step 2: Convert to fraction form
    288,756.65/433,127.61 = 78,389.12/x
  3. Step 3: Cross multiply
    288,756.65x = 433,127.61 × 78,389.12
  4. Step 4: Simplify right side
    288,756.65x = 33,952,490,029.97
  5. Step 5: Solve for x
    x = 33,952,490,029.97/288,756.65
  6. Step 6: Final answer
    x = 117,581.68

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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.