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Finding the Fourth Proportional to 292,968.96, 438,577.88 and 177,213.14

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Solution

The fourth proportional to 292,968.96, 438,577.88 and 177,213.14 is: 265,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,968.96 : 438,577.88 = 177,213.14 : x
  2. Step 2: Convert to fraction form
    292,968.96/438,577.88 = 177,213.14/x
  3. Step 3: Cross multiply
    292,968.96x = 438,577.88 × 177,213.14
  4. Step 4: Simplify right side
    292,968.96x = 77,721,763,144.15
  5. Step 5: Solve for x
    x = 77,721,763,144.15/292,968.96
  6. Step 6: Final answer
    x = 265,290.10

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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.