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Finding the Fourth Proportional to 367,962.80, 507,830.72 and 204,635.57

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Solution

The fourth proportional to 367,962.80, 507,830.72 and 204,635.57 is: 282,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,962.80 : 507,830.72 = 204,635.57 : x
  2. Step 2: Convert to fraction form
    367,962.80/507,830.72 = 204,635.57/x
  3. Step 3: Cross multiply
    367,962.80x = 507,830.72 × 204,635.57
  4. Step 4: Simplify right side
    367,962.80x = 103,920,225,288.38
  5. Step 5: Solve for x
    x = 103,920,225,288.38/367,962.80
  6. Step 6: Final answer
    x = 282,420.47

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Why These Related Problems?

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