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Finding the Fourth Proportional to 390,141.75, 538,395.62 and 211,293.75

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Solution

The fourth proportional to 390,141.75, 538,395.62 and 211,293.75 is: 291,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,141.75 : 538,395.62 = 211,293.75 : x
  2. Step 2: Convert to fraction form
    390,141.75/538,395.62 = 211,293.75/x
  3. Step 3: Cross multiply
    390,141.75x = 538,395.62 × 211,293.75
  4. Step 4: Simplify right side
    390,141.75x = 113,759,628,476.91
  5. Step 5: Solve for x
    x = 113,759,628,476.91/390,141.75
  6. Step 6: Final answer
    x = 291,585.38

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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.