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Finding the Fourth Proportional to 384,694.30, 577,041.45 and 100,384.30

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Solution

The fourth proportional to 384,694.30, 577,041.45 and 100,384.30 is: 150,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,694.30 : 577,041.45 = 100,384.30 : x
  2. Step 2: Convert to fraction form
    384,694.30/577,041.45 = 100,384.30/x
  3. Step 3: Cross multiply
    384,694.30x = 577,041.45 × 100,384.30
  4. Step 4: Simplify right side
    384,694.30x = 57,925,902,029.24
  5. Step 5: Solve for x
    x = 57,925,902,029.24/384,694.30
  6. Step 6: Final answer
    x = 150,576.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.