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Finding the Fourth Proportional to 417,160.64, 575,639.06 and 256,022.48

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Solution

The fourth proportional to 417,160.64, 575,639.06 and 256,022.48 is: 353,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,160.64 : 575,639.06 = 256,022.48 : x
  2. Step 2: Convert to fraction form
    417,160.64/575,639.06 = 256,022.48/x
  3. Step 3: Cross multiply
    417,160.64x = 575,639.06 × 256,022.48
  4. Step 4: Simplify right side
    417,160.64x = 147,376,539,726.07
  5. Step 5: Solve for x
    x = 147,376,539,726.07/417,160.64
  6. Step 6: Final answer
    x = 353,284.86

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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.