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Finding the Fourth Proportional to 470,672.10, 706,593.15 and 468,514.26

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Solution

The fourth proportional to 470,672.10, 706,593.15 and 468,514.26 is: 703,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,672.10 : 706,593.15 = 468,514.26 : x
  2. Step 2: Convert to fraction form
    470,672.10/706,593.15 = 468,514.26/x
  3. Step 3: Cross multiply
    470,672.10x = 706,593.15 × 468,514.26
  4. Step 4: Simplify right side
    470,672.10x = 331,048,966,793.32
  5. Step 5: Solve for x
    x = 331,048,966,793.32/470,672.10
  6. Step 6: Final answer
    x = 703,353.71

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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.