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Finding the Fourth Proportional to 509,416.38, 763,435.26 and 193,701.06

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Solution

The fourth proportional to 509,416.38, 763,435.26 and 193,701.06 is: 290,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,416.38 : 763,435.26 = 193,701.06 : x
  2. Step 2: Convert to fraction form
    509,416.38/763,435.26 = 193,701.06/x
  3. Step 3: Cross multiply
    509,416.38x = 763,435.26 × 193,701.06
  4. Step 4: Simplify right side
    509,416.38x = 147,878,219,103.38
  5. Step 5: Solve for x
    x = 147,878,219,103.38/509,416.38
  6. Step 6: Final answer
    x = 290,289.49

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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.