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Finding the Fourth Proportional to 601,398, 829,956.60 and 333,126

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Solution

The fourth proportional to 601,398, 829,956.60 and 333,126 is: 459,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,398 : 829,956.60 = 333,126 : x
  2. Step 2: Convert to fraction form
    601,398/829,956.60 = 333,126/x
  3. Step 3: Cross multiply
    601,398x = 829,956.60 × 333,126
  4. Step 4: Simplify right side
    601,398x = 276,480,122,331.60
  5. Step 5: Solve for x
    x = 276,480,122,331.60/601,398
  6. Step 6: Final answer
    x = 459,729.04

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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.