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Finding the Fourth Proportional to 531,373.61, 733,258.94 and 298,835.31

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Solution

The fourth proportional to 531,373.61, 733,258.94 and 298,835.31 is: 412,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,373.61 : 733,258.94 = 298,835.31 : x
  2. Step 2: Convert to fraction form
    531,373.61/733,258.94 = 298,835.31/x
  3. Step 3: Cross multiply
    531,373.61x = 733,258.94 × 298,835.31
  4. Step 4: Simplify right side
    531,373.61x = 219,123,663,392.26
  5. Step 5: Solve for x
    x = 219,123,663,392.26/531,373.61
  6. Step 6: Final answer
    x = 412,372.13

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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.