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Finding the Fourth Proportional to 403,218.30, 556,405.11 and 233,463.90

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Solution

The fourth proportional to 403,218.30, 556,405.11 and 233,463.90 is: 322,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,218.30 : 556,405.11 = 233,463.90 : x
  2. Step 2: Convert to fraction form
    403,218.30/556,405.11 = 233,463.90/x
  3. Step 3: Cross multiply
    403,218.30x = 556,405.11 × 233,463.90
  4. Step 4: Simplify right side
    403,218.30x = 129,900,506,960.53
  5. Step 5: Solve for x
    x = 129,900,506,960.53/403,218.30
  6. Step 6: Final answer
    x = 322,159.25

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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.