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Finding the Fourth Proportional to 417,716.19, 576,400.32 and 233,929.08

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Solution

The fourth proportional to 417,716.19, 576,400.32 and 233,929.08 is: 322,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,716.19 : 576,400.32 = 233,929.08 : x
  2. Step 2: Convert to fraction form
    417,716.19/576,400.32 = 233,929.08/x
  3. Step 3: Cross multiply
    417,716.19x = 576,400.32 × 233,929.08
  4. Step 4: Simplify right side
    417,716.19x = 134,836,796,569.31
  5. Step 5: Solve for x
    x = 134,836,796,569.31/417,716.19
  6. Step 6: Final answer
    x = 322,795.24

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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.