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Finding the Fourth Proportional to 461,031, 636,227.73 and 259,827

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Solution

The fourth proportional to 461,031, 636,227.73 and 259,827 is: 358,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,031 : 636,227.73 = 259,827 : x
  2. Step 2: Convert to fraction form
    461,031/636,227.73 = 259,827/x
  3. Step 3: Cross multiply
    461,031x = 636,227.73 × 259,827
  4. Step 4: Simplify right side
    461,031x = 165,309,142,402.71
  5. Step 5: Solve for x
    x = 165,309,142,402.71/461,031
  6. Step 6: Final answer
    x = 358,564.05

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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.