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Finding the Fourth Proportional to 364,414.47, 502,904.48 and 211,441.11

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Solution

The fourth proportional to 364,414.47, 502,904.48 and 211,441.11 is: 291,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,414.47 : 502,904.48 = 211,441.11 : x
  2. Step 2: Convert to fraction form
    364,414.47/502,904.48 = 211,441.11/x
  3. Step 3: Cross multiply
    364,414.47x = 502,904.48 × 211,441.11
  4. Step 4: Simplify right side
    364,414.47x = 106,334,680,417.97
  5. Step 5: Solve for x
    x = 106,334,680,417.97/364,414.47
  6. Step 6: Final answer
    x = 291,795.99

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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.