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Finding the Fourth Proportional to 653,703.60, 980,611.92 and 180,388.98

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Solution

The fourth proportional to 653,703.60, 980,611.92 and 180,388.98 is: 270,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,703.60 : 980,611.92 = 180,388.98 : x
  2. Step 2: Convert to fraction form
    653,703.60/980,611.92 = 180,388.98/x
  3. Step 3: Cross multiply
    653,703.60x = 980,611.92 × 180,388.98
  4. Step 4: Simplify right side
    653,703.60x = 176,891,584,024.64
  5. Step 5: Solve for x
    x = 176,891,584,024.64/653,703.60
  6. Step 6: Final answer
    x = 270,599.07

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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.