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Finding the Fourth Proportional to 601,203, 829,686.22 and 332,931

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Solution

The fourth proportional to 601,203, 829,686.22 and 332,931 is: 459,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,203 : 829,686.22 = 332,931 : x
  2. Step 2: Convert to fraction form
    601,203/829,686.22 = 332,931/x
  3. Step 3: Cross multiply
    601,203x = 829,686.22 × 332,931
  4. Step 4: Simplify right side
    601,203x = 276,228,262,910.82
  5. Step 5: Solve for x
    x = 276,228,262,910.82/601,203
  6. Step 6: Final answer
    x = 459,459.22

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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.