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Finding the Fourth Proportional to 777,784.68, 1,073,342.88 and 420,088.68

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Solution

The fourth proportional to 777,784.68, 1,073,342.88 and 420,088.68 is: 579,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,784.68 : 1,073,342.88 = 420,088.68 : x
  2. Step 2: Convert to fraction form
    777,784.68/1,073,342.88 = 420,088.68/x
  3. Step 3: Cross multiply
    777,784.68x = 1,073,342.88 × 420,088.68
  4. Step 4: Simplify right side
    777,784.68x = 450,899,193,646.60
  5. Step 5: Solve for x
    x = 450,899,193,646.60/777,784.68
  6. Step 6: Final answer
    x = 579,722.39

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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.