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Finding the Fourth Proportional to 541,852.26, 813,303.28 and 261,566.34

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Solution

The fourth proportional to 541,852.26, 813,303.28 and 261,566.34 is: 392,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,852.26 : 813,303.28 = 261,566.34 : x
  2. Step 2: Convert to fraction form
    541,852.26/813,303.28 = 261,566.34/x
  3. Step 3: Cross multiply
    541,852.26x = 813,303.28 × 261,566.34
  4. Step 4: Simplify right side
    541,852.26x = 212,732,762,259.60
  5. Step 5: Solve for x
    x = 212,732,762,259.60/541,852.26
  6. Step 6: Final answer
    x = 392,602.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.