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Finding the Fourth Proportional to 517,616.82, 714,293.67 and 291,218.58

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Solution

The fourth proportional to 517,616.82, 714,293.67 and 291,218.58 is: 401,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,616.82 : 714,293.67 = 291,218.58 : x
  2. Step 2: Convert to fraction form
    517,616.82/714,293.67 = 291,218.58/x
  3. Step 3: Cross multiply
    517,616.82x = 714,293.67 × 291,218.58
  4. Step 4: Simplify right side
    517,616.82x = 208,015,588,280.39
  5. Step 5: Solve for x
    x = 208,015,588,280.39/517,616.82
  6. Step 6: Final answer
    x = 401,871.77

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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.