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Finding the Fourth Proportional to 423,538.60, 584,513.94 and 280,049.80

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Solution

The fourth proportional to 423,538.60, 584,513.94 and 280,049.80 is: 386,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,538.60 : 584,513.94 = 280,049.80 : x
  2. Step 2: Convert to fraction form
    423,538.60/584,513.94 = 280,049.80/x
  3. Step 3: Cross multiply
    423,538.60x = 584,513.94 × 280,049.80
  4. Step 4: Simplify right side
    423,538.60x = 163,693,011,994.21
  5. Step 5: Solve for x
    x = 163,693,011,994.21/423,538.60
  6. Step 6: Final answer
    x = 386,489.00

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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.