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Finding the Fourth Proportional to 706,185, 1,059,287.22 and 391,257

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Solution

The fourth proportional to 706,185, 1,059,287.22 and 391,257 is: 586,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,185 : 1,059,287.22 = 391,257 : x
  2. Step 2: Convert to fraction form
    706,185/1,059,287.22 = 391,257/x
  3. Step 3: Cross multiply
    706,185x = 1,059,287.22 × 391,257
  4. Step 4: Simplify right side
    706,185x = 414,453,539,835.54
  5. Step 5: Solve for x
    x = 414,453,539,835.54/706,185
  6. Step 6: Final answer
    x = 586,890.89

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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.