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Finding the Fourth Proportional to 777,705.80, 1,073,233.78 and 420,009.80

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Solution

The fourth proportional to 777,705.80, 1,073,233.78 and 420,009.80 is: 579,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,705.80 : 1,073,233.78 = 420,009.80 : x
  2. Step 2: Convert to fraction form
    777,705.80/1,073,233.78 = 420,009.80/x
  3. Step 3: Cross multiply
    777,705.80x = 1,073,233.78 × 420,009.80
  4. Step 4: Simplify right side
    777,705.80x = 450,768,705,291.04
  5. Step 5: Solve for x
    x = 450,768,705,291.04/777,705.80
  6. Step 6: Final answer
    x = 579,613.40

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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.