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Finding the Fourth Proportional to 475,522.56, 656,228.52 and 284,544

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Solution

The fourth proportional to 475,522.56, 656,228.52 and 284,544 is: 392,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,522.56 : 656,228.52 = 284,544 : x
  2. Step 2: Convert to fraction form
    475,522.56/656,228.52 = 284,544/x
  3. Step 3: Cross multiply
    475,522.56x = 656,228.52 × 284,544
  4. Step 4: Simplify right side
    475,522.56x = 186,725,887,994.88
  5. Step 5: Solve for x
    x = 186,725,887,994.88/475,522.56
  6. Step 6: Final answer
    x = 392,675.14

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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.