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Finding the Fourth Proportional to 653,643.91, 980,522.34 and 180,329.27

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Solution

The fourth proportional to 653,643.91, 980,522.34 and 180,329.27 is: 270,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,643.91 : 980,522.34 = 180,329.27 : x
  2. Step 2: Convert to fraction form
    653,643.91/980,522.34 = 180,329.27/x
  3. Step 3: Cross multiply
    653,643.91x = 980,522.34 × 180,329.27
  4. Step 4: Simplify right side
    653,643.91x = 176,816,873,226.40
  5. Step 5: Solve for x
    x = 176,816,873,226.40/653,643.91
  6. Step 6: Final answer
    x = 270,509.48

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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.