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Finding the Fourth Proportional to 410,827.30, 576,817.10 and 410,827.30

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Solution

The fourth proportional to 410,827.30, 576,817.10 and 410,827.30 is: 576,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,827.30 : 576,817.10 = 410,827.30 : x
  2. Step 2: Convert to fraction form
    410,827.30/576,817.10 = 410,827.30/x
  3. Step 3: Cross multiply
    410,827.30x = 576,817.10 × 410,827.30
  4. Step 4: Simplify right side
    410,827.30x = 236,972,211,786.83
  5. Step 5: Solve for x
    x = 236,972,211,786.83/410,827.30
  6. Step 6: Final answer
    x = 576,817.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.