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Finding the Fourth Proportional to 565,032.58, 779,399.52 and 335,434

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Solution

The fourth proportional to 565,032.58, 779,399.52 and 335,434 is: 462,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,032.58 : 779,399.52 = 335,434 : x
  2. Step 2: Convert to fraction form
    565,032.58/779,399.52 = 335,434/x
  3. Step 3: Cross multiply
    565,032.58x = 779,399.52 × 335,434
  4. Step 4: Simplify right side
    565,032.58x = 261,437,098,591.68
  5. Step 5: Solve for x
    x = 261,437,098,591.68/565,032.58
  6. Step 6: Final answer
    x = 462,693.85

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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.