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Finding the Fourth Proportional to 601,094.09, 829,510.10 and 329,178.92

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Solution

The fourth proportional to 601,094.09, 829,510.10 and 329,178.92 is: 454,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,094.09 : 829,510.10 = 329,178.92 : x
  2. Step 2: Convert to fraction form
    601,094.09/829,510.10 = 329,178.92/x
  3. Step 3: Cross multiply
    601,094.09x = 829,510.10 × 329,178.92
  4. Step 4: Simplify right side
    601,094.09x = 273,057,238,847.09
  5. Step 5: Solve for x
    x = 273,057,238,847.09/601,094.09
  6. Step 6: Final answer
    x = 454,267.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.