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Finding the Fourth Proportional to 297,498, 410,505.93 and 174,995.94

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Solution

The fourth proportional to 297,498, 410,505.93 and 174,995.94 is: 241,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,498 : 410,505.93 = 174,995.94 : x
  2. Step 2: Convert to fraction form
    297,498/410,505.93 = 174,995.94/x
  3. Step 3: Cross multiply
    297,498x = 410,505.93 × 174,995.94
  4. Step 4: Simplify right side
    297,498x = 71,836,871,095.92
  5. Step 5: Solve for x
    x = 71,836,871,095.92/297,498
  6. Step 6: Final answer
    x = 241,470.10

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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.