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Finding the Fourth Proportional to 510,958.87, 705,123.45 and 296,223.43

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Solution

The fourth proportional to 510,958.87, 705,123.45 and 296,223.43 is: 408,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,958.87 : 705,123.45 = 296,223.43 : x
  2. Step 2: Convert to fraction form
    510,958.87/705,123.45 = 296,223.43/x
  3. Step 3: Cross multiply
    510,958.87x = 705,123.45 × 296,223.43
  4. Step 4: Simplify right side
    510,958.87x = 208,874,086,932.43
  5. Step 5: Solve for x
    x = 208,874,086,932.43/510,958.87
  6. Step 6: Final answer
    x = 408,788.45

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1.5x scale

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.