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Finding the Fourth Proportional to 289,184.85, 433,797.54 and 89,478.93

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Solution

The fourth proportional to 289,184.85, 433,797.54 and 89,478.93 is: 134,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,184.85 : 433,797.54 = 89,478.93 : x
  2. Step 2: Convert to fraction form
    289,184.85/433,797.54 = 89,478.93/x
  3. Step 3: Cross multiply
    289,184.85x = 433,797.54 × 89,478.93
  4. Step 4: Simplify right side
    289,184.85x = 38,815,739,715.83
  5. Step 5: Solve for x
    x = 38,815,739,715.83/289,184.85
  6. Step 6: Final answer
    x = 134,224.67

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Why These Related Problems?

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