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Finding the Fourth Proportional to 557,364.74, 769,137.62 and 315,649.05

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Solution

The fourth proportional to 557,364.74, 769,137.62 and 315,649.05 is: 435,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,364.74 : 769,137.62 = 315,649.05 : x
  2. Step 2: Convert to fraction form
    557,364.74/769,137.62 = 315,649.05/x
  3. Step 3: Cross multiply
    557,364.74x = 769,137.62 × 315,649.05
  4. Step 4: Simplify right side
    557,364.74x = 242,777,559,861.38
  5. Step 5: Solve for x
    x = 242,777,559,861.38/557,364.74
  6. Step 6: Final answer
    x = 435,581.12

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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.