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Finding the Fourth Proportional to 553,497.30, 763,724.79 and 311,728.14

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Solution

The fourth proportional to 553,497.30, 763,724.79 and 311,728.14 is: 430,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,497.30 : 763,724.79 = 311,728.14 : x
  2. Step 2: Convert to fraction form
    553,497.30/763,724.79 = 311,728.14/x
  3. Step 3: Cross multiply
    553,497.30x = 763,724.79 × 311,728.14
  4. Step 4: Simplify right side
    553,497.30x = 238,074,508,258.59
  5. Step 5: Solve for x
    x = 238,074,508,258.59/553,497.30
  6. Step 6: Final answer
    x = 430,127.68

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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.