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Finding the Fourth Proportional to 706,291.20, 1,059,436.80 and 493,714.80

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Solution

The fourth proportional to 706,291.20, 1,059,436.80 and 493,714.80 is: 740,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,291.20 : 1,059,436.80 = 493,714.80 : x
  2. Step 2: Convert to fraction form
    706,291.20/1,059,436.80 = 493,714.80/x
  3. Step 3: Cross multiply
    706,291.20x = 1,059,436.80 × 493,714.80
  4. Step 4: Simplify right side
    706,291.20x = 523,059,627,824.64
  5. Step 5: Solve for x
    x = 523,059,627,824.64/706,291.20
  6. Step 6: Final answer
    x = 740,572.20

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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.