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Finding the Fourth Proportional to 297,904.42, 411,083.67 and 175,377.34

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Solution

The fourth proportional to 297,904.42, 411,083.67 and 175,377.34 is: 242,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904.42 : 411,083.67 = 175,377.34 : x
  2. Step 2: Convert to fraction form
    297,904.42/411,083.67 = 175,377.34/x
  3. Step 3: Cross multiply
    297,904.42x = 411,083.67 × 175,377.34
  4. Step 4: Simplify right side
    297,904.42x = 72,094,760,562.04
  5. Step 5: Solve for x
    x = 72,094,760,562.04/297,904.42
  6. Step 6: Final answer
    x = 242,006.35

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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.