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Finding the Fourth Proportional to 723,105.64, 997,933.82 and 400,829.32

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Solution

The fourth proportional to 723,105.64, 997,933.82 and 400,829.32 is: 553,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,105.64 : 997,933.82 = 400,829.32 : x
  2. Step 2: Convert to fraction form
    723,105.64/997,933.82 = 400,829.32/x
  3. Step 3: Cross multiply
    723,105.64x = 997,933.82 × 400,829.32
  4. Step 4: Simplify right side
    723,105.64x = 400,001,132,471.46
  5. Step 5: Solve for x
    x = 400,001,132,471.46/723,105.64
  6. Step 6: Final answer
    x = 553,171.09

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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.