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Finding the Fourth Proportional to 508,109.82, 701,141 and 293,319.08

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Solution

The fourth proportional to 508,109.82, 701,141 and 293,319.08 is: 404,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,109.82 : 701,141 = 293,319.08 : x
  2. Step 2: Convert to fraction form
    508,109.82/701,141 = 293,319.08/x
  3. Step 3: Cross multiply
    508,109.82x = 701,141 × 293,319.08
  4. Step 4: Simplify right side
    508,109.82x = 205,658,033,070.28
  5. Step 5: Solve for x
    x = 205,658,033,070.28/508,109.82
  6. Step 6: Final answer
    x = 404,751.15

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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.