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Finding the Fourth Proportional to 309,751.32, 464,542.68 and 85,058.52

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Solution

The fourth proportional to 309,751.32, 464,542.68 and 85,058.52 is: 127,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,751.32 : 464,542.68 = 85,058.52 : x
  2. Step 2: Convert to fraction form
    309,751.32/464,542.68 = 85,058.52/x
  3. Step 3: Cross multiply
    309,751.32x = 464,542.68 × 85,058.52
  4. Step 4: Simplify right side
    309,751.32x = 39,513,312,837.63
  5. Step 5: Solve for x
    x = 39,513,312,837.63/309,751.32
  6. Step 6: Final answer
    x = 127,564.63

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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.