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Finding the Fourth Proportional to 601,199, 829,680.70 and 332,927

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Solution

The fourth proportional to 601,199, 829,680.70 and 332,927 is: 459,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,199 : 829,680.70 = 332,927 : x
  2. Step 2: Convert to fraction form
    601,199/829,680.70 = 332,927/x
  3. Step 3: Cross multiply
    601,199x = 829,680.70 × 332,927
  4. Step 4: Simplify right side
    601,199x = 276,223,106,408.90
  5. Step 5: Solve for x
    x = 276,223,106,408.90/601,199
  6. Step 6: Final answer
    x = 459,453.70

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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.