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Finding the Fourth Proportional to 474,085.69, 711,129.22 and 193,602.94

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Solution

The fourth proportional to 474,085.69, 711,129.22 and 193,602.94 is: 290,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,085.69 : 711,129.22 = 193,602.94 : x
  2. Step 2: Convert to fraction form
    474,085.69/711,129.22 = 193,602.94/x
  3. Step 3: Cross multiply
    474,085.69x = 711,129.22 × 193,602.94
  4. Step 4: Simplify right side
    474,085.69x = 137,676,705,087.07
  5. Step 5: Solve for x
    x = 137,676,705,087.07/474,085.69
  6. Step 6: Final answer
    x = 290,404.69

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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.