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Finding the Fourth Proportional to 509,726.39, 703,440.45 and 280,301.18

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Solution

The fourth proportional to 509,726.39, 703,440.45 and 280,301.18 is: 386,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,726.39 : 703,440.45 = 280,301.18 : x
  2. Step 2: Convert to fraction form
    509,726.39/703,440.45 = 280,301.18/x
  3. Step 3: Cross multiply
    509,726.39x = 703,440.45 × 280,301.18
  4. Step 4: Simplify right side
    509,726.39x = 197,175,184,677.53
  5. Step 5: Solve for x
    x = 197,175,184,677.53/509,726.39
  6. Step 6: Final answer
    x = 386,825.54

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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.