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Finding the Fourth Proportional to 538,349.14, 807,524.88 and 505,466.38

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Solution

The fourth proportional to 538,349.14, 807,524.88 and 505,466.38 is: 758,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,349.14 : 807,524.88 = 505,466.38 : x
  2. Step 2: Convert to fraction form
    538,349.14/807,524.88 = 505,466.38/x
  3. Step 3: Cross multiply
    538,349.14x = 807,524.88 × 505,466.38
  4. Step 4: Simplify right side
    538,349.14x = 408,176,677,853.53
  5. Step 5: Solve for x
    x = 408,176,677,853.53/538,349.14
  6. Step 6: Final answer
    x = 758,200.67

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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.