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Finding the Fourth Proportional to 565,010.50, 779,720.21 and 306,892.49

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Solution

The fourth proportional to 565,010.50, 779,720.21 and 306,892.49 is: 423,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,010.50 : 779,720.21 = 306,892.49 : x
  2. Step 2: Convert to fraction form
    565,010.50/779,720.21 = 306,892.49/x
  3. Step 3: Cross multiply
    565,010.50x = 779,720.21 × 306,892.49
  4. Step 4: Simplify right side
    565,010.50x = 239,290,276,750.22
  5. Step 5: Solve for x
    x = 239,290,276,750.22/565,010.50
  6. Step 6: Final answer
    x = 423,514.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.