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Finding the Fourth Proportional to 292,564.60, 403,736.84 and 158,428.60

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Solution

The fourth proportional to 292,564.60, 403,736.84 and 158,428.60 is: 218,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,564.60 : 403,736.84 = 158,428.60 : x
  2. Step 2: Convert to fraction form
    292,564.60/403,736.84 = 158,428.60/x
  3. Step 3: Cross multiply
    292,564.60x = 403,736.84 × 158,428.60
  4. Step 4: Simplify right side
    292,564.60x = 63,963,462,329.62
  5. Step 5: Solve for x
    x = 63,963,462,329.62/292,564.60
  6. Step 6: Final answer
    x = 218,630.22

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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.