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Finding the Fourth Proportional to 431,608.41, 595,430.61 and 411,597.36

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Solution

The fourth proportional to 431,608.41, 595,430.61 and 411,597.36 is: 567,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,608.41 : 595,430.61 = 411,597.36 : x
  2. Step 2: Convert to fraction form
    431,608.41/595,430.61 = 411,597.36/x
  3. Step 3: Cross multiply
    431,608.41x = 595,430.61 × 411,597.36
  4. Step 4: Simplify right side
    431,608.41x = 245,077,667,139.19
  5. Step 5: Solve for x
    x = 245,077,667,139.19/431,608.41
  6. Step 6: Final answer
    x = 567,824.12

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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.