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Finding the Fourth Proportional to 356,368.70, 491,784.88 and 193,021.14

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Solution

The fourth proportional to 356,368.70, 491,784.88 and 193,021.14 is: 266,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,368.70 : 491,784.88 = 193,021.14 : x
  2. Step 2: Convert to fraction form
    356,368.70/491,784.88 = 193,021.14/x
  3. Step 3: Cross multiply
    356,368.70x = 491,784.88 × 193,021.14
  4. Step 4: Simplify right side
    356,368.70x = 94,924,878,172.36
  5. Step 5: Solve for x
    x = 94,924,878,172.36/356,368.70
  6. Step 6: Final answer
    x = 266,367.05

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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.