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Finding the Fourth Proportional to 711,906.16, 982,476.12 and 410,094.96

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Solution

The fourth proportional to 711,906.16, 982,476.12 and 410,094.96 is: 565,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,906.16 : 982,476.12 = 410,094.96 : x
  2. Step 2: Convert to fraction form
    711,906.16/982,476.12 = 410,094.96/x
  3. Step 3: Cross multiply
    711,906.16x = 982,476.12 × 410,094.96
  4. Step 4: Simplify right side
    711,906.16x = 402,908,505,132.36
  5. Step 5: Solve for x
    x = 402,908,505,132.36/711,906.16
  6. Step 6: Final answer
    x = 565,957.32

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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.