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Finding the Fourth Proportional to 601,069.38, 829,485.95 and 329,132.94

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Solution

The fourth proportional to 601,069.38, 829,485.95 and 329,132.94 is: 454,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,069.38 : 829,485.95 = 329,132.94 : x
  2. Step 2: Convert to fraction form
    601,069.38/829,485.95 = 329,132.94/x
  3. Step 3: Cross multiply
    601,069.38x = 829,485.95 × 329,132.94
  4. Step 4: Simplify right side
    601,069.38x = 273,011,149,412.19
  5. Step 5: Solve for x
    x = 273,011,149,412.19/601,069.38
  6. Step 6: Final answer
    x = 454,209.05

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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.