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Finding the Fourth Proportional to 653,666.80, 980,556.75 and 180,352.11

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Solution

The fourth proportional to 653,666.80, 980,556.75 and 180,352.11 is: 270,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,666.80 : 980,556.75 = 180,352.11 : x
  2. Step 2: Convert to fraction form
    653,666.80/980,556.75 = 180,352.11/x
  3. Step 3: Cross multiply
    653,666.80x = 980,556.75 × 180,352.11
  4. Step 4: Simplify right side
    653,666.80x = 176,845,478,837.24
  5. Step 5: Solve for x
    x = 176,845,478,837.24/653,666.80
  6. Step 6: Final answer
    x = 270,543.77

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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.