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Finding the Fourth Proportional to 509,607.50, 764,411.40 and 149,778.42

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Solution

The fourth proportional to 509,607.50, 764,411.40 and 149,778.42 is: 224,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,607.50 : 764,411.40 = 149,778.42 : x
  2. Step 2: Convert to fraction form
    509,607.50/764,411.40 = 149,778.42/x
  3. Step 3: Cross multiply
    509,607.50x = 764,411.40 × 149,778.42
  4. Step 4: Simplify right side
    509,607.50x = 114,492,329,276.70
  5. Step 5: Solve for x
    x = 114,492,329,276.70/509,607.50
  6. Step 6: Final answer
    x = 224,667.67

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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.