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Finding the Fourth Proportional to 464,022.41, 640,285.97 and 260,057.32

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Solution

The fourth proportional to 464,022.41, 640,285.97 and 260,057.32 is: 358,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,022.41 : 640,285.97 = 260,057.32 : x
  2. Step 2: Convert to fraction form
    464,022.41/640,285.97 = 260,057.32/x
  3. Step 3: Cross multiply
    464,022.41x = 640,285.97 × 260,057.32
  4. Step 4: Simplify right side
    464,022.41x = 166,511,050,490.80
  5. Step 5: Solve for x
    x = 166,511,050,490.80/464,022.41
  6. Step 6: Final answer
    x = 358,842.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.