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Finding the Fourth Proportional to 409,295.10, 613,942.65 and 350,246.10

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Solution

The fourth proportional to 409,295.10, 613,942.65 and 350,246.10 is: 525,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,295.10 : 613,942.65 = 350,246.10 : x
  2. Step 2: Convert to fraction form
    409,295.10/613,942.65 = 350,246.10/x
  3. Step 3: Cross multiply
    409,295.10x = 613,942.65 × 350,246.10
  4. Step 4: Simplify right side
    409,295.10x = 215,031,018,786.17
  5. Step 5: Solve for x
    x = 215,031,018,786.17/409,295.10
  6. Step 6: Final answer
    x = 525,369.15

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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.