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Finding the Fourth Proportional to 491,796.49, 737,548.93 and 211,248.13

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Solution

The fourth proportional to 491,796.49, 737,548.93 and 211,248.13 is: 316,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,796.49 : 737,548.93 = 211,248.13 : x
  2. Step 2: Convert to fraction form
    491,796.49/737,548.93 = 211,248.13/x
  3. Step 3: Cross multiply
    491,796.49x = 737,548.93 × 211,248.13
  4. Step 4: Simplify right side
    491,796.49x = 155,805,828,030.14
  5. Step 5: Solve for x
    x = 155,805,828,030.14/491,796.49
  6. Step 6: Final answer
    x = 316,809.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.