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Finding the Fourth Proportional to 584,408.86, 876,608.73 and 314,663.40

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Solution

The fourth proportional to 584,408.86, 876,608.73 and 314,663.40 is: 471,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,408.86 : 876,608.73 = 314,663.40 : x
  2. Step 2: Convert to fraction form
    584,408.86/876,608.73 = 314,663.40/x
  3. Step 3: Cross multiply
    584,408.86x = 876,608.73 × 314,663.40
  4. Step 4: Simplify right side
    584,408.86x = 275,836,683,451.48
  5. Step 5: Solve for x
    x = 275,836,683,451.48/584,408.86
  6. Step 6: Final answer
    x = 471,992.65

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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.