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Finding the Fourth Proportional to 509,837.80, 764,411.10 and 194,247.40

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Solution

The fourth proportional to 509,837.80, 764,411.10 and 194,247.40 is: 291,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,837.80 : 764,411.10 = 194,247.40 : x
  2. Step 2: Convert to fraction form
    509,837.80/764,411.10 = 194,247.40/x
  3. Step 3: Cross multiply
    509,837.80x = 764,411.10 × 194,247.40
  4. Step 4: Simplify right side
    509,837.80x = 148,484,868,706.14
  5. Step 5: Solve for x
    x = 148,484,868,706.14/509,837.80
  6. Step 6: Final answer
    x = 291,239.43

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Why These Related Problems?

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