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Finding the Fourth Proportional to 297,898.41, 411,053.94 and 176,994.93

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Solution

The fourth proportional to 297,898.41, 411,053.94 and 176,994.93 is: 244,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,898.41 : 411,053.94 = 176,994.93 : x
  2. Step 2: Convert to fraction form
    297,898.41/411,053.94 = 176,994.93/x
  3. Step 3: Cross multiply
    297,898.41x = 411,053.94 × 176,994.93
  4. Step 4: Simplify right side
    297,898.41x = 72,754,463,336.52
  5. Step 5: Solve for x
    x = 72,754,463,336.52/297,898.41
  6. Step 6: Final answer
    x = 244,225.75

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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.