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Finding the Fourth Proportional to 706,809.52, 1,059,443.20 and 347,227.84

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Solution

The fourth proportional to 706,809.52, 1,059,443.20 and 347,227.84 is: 520,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,809.52 : 1,059,443.20 = 347,227.84 : x
  2. Step 2: Convert to fraction form
    706,809.52/1,059,443.20 = 347,227.84/x
  3. Step 3: Cross multiply
    706,809.52x = 1,059,443.20 × 347,227.84
  4. Step 4: Simplify right side
    706,809.52x = 367,868,173,938.69
  5. Step 5: Solve for x
    x = 367,868,173,938.69/706,809.52
  6. Step 6: Final answer
    x = 520,462.96

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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.