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Finding the Fourth Proportional to 297,859.60, 411,106.07 and 176,977.66

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Solution

The fourth proportional to 297,859.60, 411,106.07 and 176,977.66 is: 244,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,859.60 : 411,106.07 = 176,977.66 : x
  2. Step 2: Convert to fraction form
    297,859.60/411,106.07 = 176,977.66/x
  3. Step 3: Cross multiply
    297,859.60x = 411,106.07 × 176,977.66
  4. Step 4: Simplify right side
    297,859.60x = 72,756,590,280.40
  5. Step 5: Solve for x
    x = 72,756,590,280.40/297,859.60
  6. Step 6: Final answer
    x = 244,264.71

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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.