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Finding the Fourth Proportional to 301,697.91, 452,546.43 and 77,058.57

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Solution

The fourth proportional to 301,697.91, 452,546.43 and 77,058.57 is: 115,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,697.91 : 452,546.43 = 77,058.57 : x
  2. Step 2: Convert to fraction form
    301,697.91/452,546.43 = 77,058.57/x
  3. Step 3: Cross multiply
    301,697.91x = 452,546.43 × 77,058.57
  4. Step 4: Simplify right side
    301,697.91x = 34,872,580,754.41
  5. Step 5: Solve for x
    x = 34,872,580,754.41/301,697.91
  6. Step 6: Final answer
    x = 115,587.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.