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Finding the Fourth Proportional to 288,869.08, 433,312.50 and 78,511.48

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Solution

The fourth proportional to 288,869.08, 433,312.50 and 78,511.48 is: 117,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,869.08 : 433,312.50 = 78,511.48 : x
  2. Step 2: Convert to fraction form
    288,869.08/433,312.50 = 78,511.48/x
  3. Step 3: Cross multiply
    288,869.08x = 433,312.50 × 78,511.48
  4. Step 4: Simplify right side
    288,869.08x = 34,020,005,677.50
  5. Step 5: Solve for x
    x = 34,020,005,677.50/288,869.08
  6. Step 6: Final answer
    x = 117,769.63

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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.