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Finding the Fourth Proportional to 529,522.84, 730,746.40 and 287,805.96

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Solution

The fourth proportional to 529,522.84, 730,746.40 and 287,805.96 is: 397,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,522.84 : 730,746.40 = 287,805.96 : x
  2. Step 2: Convert to fraction form
    529,522.84/730,746.40 = 287,805.96/x
  3. Step 3: Cross multiply
    529,522.84x = 730,746.40 × 287,805.96
  4. Step 4: Simplify right side
    529,522.84x = 210,313,169,168.54
  5. Step 5: Solve for x
    x = 210,313,169,168.54/529,522.84
  6. Step 6: Final answer
    x = 397,174.88

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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.