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Finding the Fourth Proportional to 609,088.36, 913,658.14 and 188,372.20

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Solution

The fourth proportional to 609,088.36, 913,658.14 and 188,372.20 is: 282,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,088.36 : 913,658.14 = 188,372.20 : x
  2. Step 2: Convert to fraction form
    609,088.36/913,658.14 = 188,372.20/x
  3. Step 3: Cross multiply
    609,088.36x = 913,658.14 × 188,372.20
  4. Step 4: Simplify right side
    609,088.36x = 172,107,793,879.71
  5. Step 5: Solve for x
    x = 172,107,793,879.71/609,088.36
  6. Step 6: Final answer
    x = 282,566.22

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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.