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Finding the Fourth Proportional to 361,151.64, 498,223.80 and 233,868.24

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Solution

The fourth proportional to 361,151.64, 498,223.80 and 233,868.24 is: 322,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,151.64 : 498,223.80 = 233,868.24 : x
  2. Step 2: Convert to fraction form
    361,151.64/498,223.80 = 233,868.24/x
  3. Step 3: Cross multiply
    361,151.64x = 498,223.80 × 233,868.24
  4. Step 4: Simplify right side
    361,151.64x = 116,518,723,232.11
  5. Step 5: Solve for x
    x = 116,518,723,232.11/361,151.64
  6. Step 6: Final answer
    x = 322,631.02

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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.