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Finding the Fourth Proportional to 470,813.50, 706,531.29 and 221,514.94

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Solution

The fourth proportional to 470,813.50, 706,531.29 and 221,514.94 is: 332,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,813.50 : 706,531.29 = 221,514.94 : x
  2. Step 2: Convert to fraction form
    470,813.50/706,531.29 = 221,514.94/x
  3. Step 3: Cross multiply
    470,813.50x = 706,531.29 × 221,514.94
  4. Step 4: Simplify right side
    470,813.50x = 156,507,236,312.47
  5. Step 5: Solve for x
    x = 156,507,236,312.47/470,813.50
  6. Step 6: Final answer
    x = 332,418.75

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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.