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Finding the Fourth Proportional to 409,075.65, 613,722.83 and 365,007.60

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Solution

The fourth proportional to 409,075.65, 613,722.83 and 365,007.60 is: 547,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,075.65 : 613,722.83 = 365,007.60 : x
  2. Step 2: Convert to fraction form
    409,075.65/613,722.83 = 365,007.60/x
  3. Step 3: Cross multiply
    409,075.65x = 613,722.83 × 365,007.60
  4. Step 4: Simplify right side
    409,075.65x = 224,013,495,418.47
  5. Step 5: Solve for x
    x = 224,013,495,418.47/409,075.65
  6. Step 6: Final answer
    x = 547,608.97

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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.