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Finding the Fourth Proportional to 711,802.16, 982,377.96 and 409,996.16

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Solution

The fourth proportional to 711,802.16, 982,377.96 and 409,996.16 is: 565,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,802.16 : 982,377.96 = 409,996.16 : x
  2. Step 2: Convert to fraction form
    711,802.16/982,377.96 = 409,996.16/x
  3. Step 3: Cross multiply
    711,802.16x = 982,377.96 × 409,996.16
  4. Step 4: Simplify right side
    711,802.16x = 402,771,191,268.63
  5. Step 5: Solve for x
    x = 402,771,191,268.63/711,802.16
  6. Step 6: Final answer
    x = 565,847.10

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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.