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Finding the Fourth Proportional to 400,784, 601,268.16 and 138,128

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Solution

The fourth proportional to 400,784, 601,268.16 and 138,128 is: 207,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,784 : 601,268.16 = 138,128 : x
  2. Step 2: Convert to fraction form
    400,784/601,268.16 = 138,128/x
  3. Step 3: Cross multiply
    400,784x = 601,268.16 × 138,128
  4. Step 4: Simplify right side
    400,784x = 83,051,968,404.48
  5. Step 5: Solve for x
    x = 83,051,968,404.48/400,784
  6. Step 6: Final answer
    x = 207,223.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.