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Finding the Fourth Proportional to 292,055.77, 403,042.21 and 171,284.16

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Solution

The fourth proportional to 292,055.77, 403,042.21 and 171,284.16 is: 236,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,055.77 : 403,042.21 = 171,284.16 : x
  2. Step 2: Convert to fraction form
    292,055.77/403,042.21 = 171,284.16/x
  3. Step 3: Cross multiply
    292,055.77x = 403,042.21 × 171,284.16
  4. Step 4: Simplify right side
    292,055.77x = 69,034,748,431.06
  5. Step 5: Solve for x
    x = 69,034,748,431.06/292,055.77
  6. Step 6: Final answer
    x = 236,375.22

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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.