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Finding the Fourth Proportional to 653,122.86, 980,057.39 and 253,711.65

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Solution

The fourth proportional to 653,122.86, 980,057.39 and 253,711.65 is: 380,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,122.86 : 980,057.39 = 253,711.65 : x
  2. Step 2: Convert to fraction form
    653,122.86/980,057.39 = 253,711.65/x
  3. Step 3: Cross multiply
    653,122.86x = 980,057.39 × 253,711.65
  4. Step 4: Simplify right side
    653,122.86x = 248,651,977,511.59
  5. Step 5: Solve for x
    x = 248,651,977,511.59/653,122.86
  6. Step 6: Final answer
    x = 380,712.41

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1.5x scale

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.