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Finding the Fourth Proportional to 471,646.80, 706,822.20 and 302,648.40

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Solution

The fourth proportional to 471,646.80, 706,822.20 and 302,648.40 is: 453,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,646.80 : 706,822.20 = 302,648.40 : x
  2. Step 2: Convert to fraction form
    471,646.80/706,822.20 = 302,648.40/x
  3. Step 3: Cross multiply
    471,646.80x = 706,822.20 × 302,648.40
  4. Step 4: Simplify right side
    471,646.80x = 213,918,607,914.48
  5. Step 5: Solve for x
    x = 213,918,607,914.48/471,646.80
  6. Step 6: Final answer
    x = 453,556.79

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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.