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Finding the Fourth Proportional to 678,327.30, 936,256.79 and 406,556.10

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Solution

The fourth proportional to 678,327.30, 936,256.79 and 406,556.10 is: 561,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,327.30 : 936,256.79 = 406,556.10 : x
  2. Step 2: Convert to fraction form
    678,327.30/936,256.79 = 406,556.10/x
  3. Step 3: Cross multiply
    678,327.30x = 936,256.79 × 406,556.10
  4. Step 4: Simplify right side
    678,327.30x = 380,640,909,140.92
  5. Step 5: Solve for x
    x = 380,640,909,140.92/678,327.30
  6. Step 6: Final answer
    x = 561,146.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.