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Finding the Fourth Proportional to 309,497, 427,112.34 and 175,361

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Solution

The fourth proportional to 309,497, 427,112.34 and 175,361 is: 242,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,497 : 427,112.34 = 175,361 : x
  2. Step 2: Convert to fraction form
    309,497/427,112.34 = 175,361/x
  3. Step 3: Cross multiply
    309,497x = 427,112.34 × 175,361
  4. Step 4: Simplify right side
    309,497x = 74,898,847,054.74
  5. Step 5: Solve for x
    x = 74,898,847,054.74/309,497
  6. Step 6: Final answer
    x = 242,001.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.