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Finding the Fourth Proportional to 401,411.68, 553,943.56 and 231,642.16

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Solution

The fourth proportional to 401,411.68, 553,943.56 and 231,642.16 is: 319,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,411.68 : 553,943.56 = 231,642.16 : x
  2. Step 2: Convert to fraction form
    401,411.68/553,943.56 = 231,642.16/x
  3. Step 3: Cross multiply
    401,411.68x = 553,943.56 × 231,642.16
  4. Step 4: Simplify right side
    401,411.68x = 128,316,682,756.49
  5. Step 5: Solve for x
    x = 128,316,682,756.49/401,411.68
  6. Step 6: Final answer
    x = 319,663.55

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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.