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Finding the Fourth Proportional to 414,861.66, 572,484.60 and 233,566.29

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Solution

The fourth proportional to 414,861.66, 572,484.60 and 233,566.29 is: 322,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,861.66 : 572,484.60 = 233,566.29 : x
  2. Step 2: Convert to fraction form
    414,861.66/572,484.60 = 233,566.29/x
  3. Step 3: Cross multiply
    414,861.66x = 572,484.60 × 233,566.29
  4. Step 4: Simplify right side
    414,861.66x = 133,713,104,104.13
  5. Step 5: Solve for x
    x = 133,713,104,104.13/414,861.66
  6. Step 6: Final answer
    x = 322,307.69

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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.