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Finding the Fourth Proportional to 767,709, 1,059,438.42 and 428,177.52

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Solution

The fourth proportional to 767,709, 1,059,438.42 and 428,177.52 is: 590,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,709 : 1,059,438.42 = 428,177.52 : x
  2. Step 2: Convert to fraction form
    767,709/1,059,438.42 = 428,177.52/x
  3. Step 3: Cross multiply
    767,709x = 1,059,438.42 × 428,177.52
  4. Step 4: Simplify right side
    767,709x = 453,627,715,268.32
  5. Step 5: Solve for x
    x = 453,627,715,268.32/767,709
  6. Step 6: Final answer
    x = 590,884.98

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