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Finding the Fourth Proportional to 601,068, 829,473.84 and 332,813.28

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Solution

The fourth proportional to 601,068, 829,473.84 and 332,813.28 is: 459,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,068 : 829,473.84 = 332,813.28 : x
  2. Step 2: Convert to fraction form
    601,068/829,473.84 = 332,813.28/x
  3. Step 3: Cross multiply
    601,068x = 829,473.84 × 332,813.28
  4. Step 4: Simplify right side
    601,068x = 276,059,909,364.60
  5. Step 5: Solve for x
    x = 276,059,909,364.60/601,068
  6. Step 6: Final answer
    x = 459,282.33

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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.