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Finding the Fourth Proportional to 523,660.12, 785,551.70 and 186,748.67

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Solution

The fourth proportional to 523,660.12, 785,551.70 and 186,748.67 is: 280,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,660.12 : 785,551.70 = 186,748.67 : x
  2. Step 2: Convert to fraction form
    523,660.12/785,551.70 = 186,748.67/x
  3. Step 3: Cross multiply
    523,660.12x = 785,551.70 × 186,748.67
  4. Step 4: Simplify right side
    523,660.12x = 146,700,734,957.80
  5. Step 5: Solve for x
    x = 146,700,734,957.80/523,660.12
  6. Step 6: Final answer
    x = 280,144.94

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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.