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Finding the Fourth Proportional to 601,002, 829,384.38 and 329,072.04

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Solution

The fourth proportional to 601,002, 829,384.38 and 329,072.04 is: 454,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,002 : 829,384.38 = 329,072.04 : x
  2. Step 2: Convert to fraction form
    601,002/829,384.38 = 329,072.04/x
  3. Step 3: Cross multiply
    601,002x = 829,384.38 × 329,072.04
  4. Step 4: Simplify right side
    601,002x = 272,927,209,870.74
  5. Step 5: Solve for x
    x = 272,927,209,870.74/601,002
  6. Step 6: Final answer
    x = 454,120.30

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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.