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Finding the Fourth Proportional to 653,647.65, 980,527.98 and 180,333.03

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Solution

The fourth proportional to 653,647.65, 980,527.98 and 180,333.03 is: 270,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,647.65 : 980,527.98 = 180,333.03 : x
  2. Step 2: Convert to fraction form
    653,647.65/980,527.98 = 180,333.03/x
  3. Step 3: Cross multiply
    653,647.65x = 980,527.98 × 180,333.03
  4. Step 4: Simplify right side
    653,647.65x = 176,821,581,633.18
  5. Step 5: Solve for x
    x = 176,821,581,633.18/653,647.65
  6. Step 6: Final answer
    x = 270,515.13

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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.