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Finding the Fourth Proportional to 401,193.64, 553,626.66 and 231,417.64

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Solution

The fourth proportional to 401,193.64, 553,626.66 and 231,417.64 is: 319,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,193.64 : 553,626.66 = 231,417.64 : x
  2. Step 2: Convert to fraction form
    401,193.64/553,626.66 = 231,417.64/x
  3. Step 3: Cross multiply
    401,193.64x = 553,626.66 × 231,417.64
  4. Step 4: Simplify right side
    401,193.64x = 128,118,975,098.28
  5. Step 5: Solve for x
    x = 128,118,975,098.28/401,193.64
  6. Step 6: Final answer
    x = 319,344.48

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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.