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Finding the Fourth Proportional to 410,988.82, 564,986.60 and 353,417.26

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Solution

The fourth proportional to 410,988.82, 564,986.60 and 353,417.26 is: 485,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988.82 : 564,986.60 = 353,417.26 : x
  2. Step 2: Convert to fraction form
    410,988.82/564,986.60 = 353,417.26/x
  3. Step 3: Cross multiply
    410,988.82x = 564,986.60 × 353,417.26
  4. Step 4: Simplify right side
    410,988.82x = 199,676,016,108.72
  5. Step 5: Solve for x
    x = 199,676,016,108.72/410,988.82
  6. Step 6: Final answer
    x = 485,842.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.