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Finding the Fourth Proportional to 599,572.91, 827,457.80 and 341,460.78

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Solution

The fourth proportional to 599,572.91, 827,457.80 and 341,460.78 is: 471,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,572.91 : 827,457.80 = 341,460.78 : x
  2. Step 2: Convert to fraction form
    599,572.91/827,457.80 = 341,460.78/x
  3. Step 3: Cross multiply
    599,572.91x = 827,457.80 × 341,460.78
  4. Step 4: Simplify right side
    599,572.91x = 282,544,384,097.78
  5. Step 5: Solve for x
    x = 282,544,384,097.78/599,572.91
  6. Step 6: Final answer
    x = 471,242.75

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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.