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Finding the Fourth Proportional to 696,878, 1,045,218.64 and 223,501.92

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Solution

The fourth proportional to 696,878, 1,045,218.64 and 223,501.92 is: 335,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,878 : 1,045,218.64 = 223,501.92 : x
  2. Step 2: Convert to fraction form
    696,878/1,045,218.64 = 223,501.92/x
  3. Step 3: Cross multiply
    696,878x = 1,045,218.64 × 223,501.92
  4. Step 4: Simplify right side
    696,878x = 233,608,372,859.79
  5. Step 5: Solve for x
    x = 233,608,372,859.79/696,878
  6. Step 6: Final answer
    x = 335,221.33

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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.