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Finding the Fourth Proportional to 288,868.08, 433,311 and 78,510.48

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Solution

The fourth proportional to 288,868.08, 433,311 and 78,510.48 is: 117,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,868.08 : 433,311 = 78,510.48 : x
  2. Step 2: Convert to fraction form
    288,868.08/433,311 = 78,510.48/x
  3. Step 3: Cross multiply
    288,868.08x = 433,311 × 78,510.48
  4. Step 4: Simplify right side
    288,868.08x = 34,019,454,599.28
  5. Step 5: Solve for x
    x = 34,019,454,599.28/288,868.08
  6. Step 6: Final answer
    x = 117,768.13

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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.