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Finding the Fourth Proportional to 477,050.33, 715,466.14 and 284,978.88

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Solution

The fourth proportional to 477,050.33, 715,466.14 and 284,978.88 is: 427,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,050.33 : 715,466.14 = 284,978.88 : x
  2. Step 2: Convert to fraction form
    477,050.33/715,466.14 = 284,978.88/x
  3. Step 3: Cross multiply
    477,050.33x = 715,466.14 × 284,978.88
  4. Step 4: Simplify right side
    477,050.33x = 203,892,738,542.68
  5. Step 5: Solve for x
    x = 203,892,738,542.68/477,050.33
  6. Step 6: Final answer
    x = 427,402.99

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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.