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Finding the Fourth Proportional to 512,960.73, 707,886.48 and 295,165.06

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Solution

The fourth proportional to 512,960.73, 707,886.48 and 295,165.06 is: 407,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,960.73 : 707,886.48 = 295,165.06 : x
  2. Step 2: Convert to fraction form
    512,960.73/707,886.48 = 295,165.06/x
  3. Step 3: Cross multiply
    512,960.73x = 707,886.48 × 295,165.06
  4. Step 4: Simplify right side
    512,960.73x = 208,943,354,679.54
  5. Step 5: Solve for x
    x = 208,943,354,679.54/512,960.73
  6. Step 6: Final answer
    x = 407,328.17

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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.