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Finding the Fourth Proportional to 390,141.25, 538,394.93 and 211,293.25

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Solution

The fourth proportional to 390,141.25, 538,394.93 and 211,293.25 is: 291,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,141.25 : 538,394.93 = 211,293.25 : x
  2. Step 2: Convert to fraction form
    390,141.25/538,394.93 = 211,293.25/x
  3. Step 3: Cross multiply
    390,141.25x = 538,394.93 × 211,293.25
  4. Step 4: Simplify right side
    390,141.25x = 113,759,213,486.76
  5. Step 5: Solve for x
    x = 113,759,213,486.76/390,141.25
  6. Step 6: Final answer
    x = 291,584.69

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1.5x scale

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.