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Finding the Fourth Proportional to 517,383.68, 714,055.36 and 291,072.64

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Solution

The fourth proportional to 517,383.68, 714,055.36 and 291,072.64 is: 401,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,383.68 : 714,055.36 = 291,072.64 : x
  2. Step 2: Convert to fraction form
    517,383.68/714,055.36 = 291,072.64/x
  3. Step 3: Cross multiply
    517,383.68x = 714,055.36 × 291,072.64
  4. Step 4: Simplify right side
    517,383.68x = 207,841,978,741.35
  5. Step 5: Solve for x
    x = 207,841,978,741.35/517,383.68
  6. Step 6: Final answer
    x = 401,717.31

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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.