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Finding the Fourth Proportional to 584,408.63, 876,608.34 and 314,663.15

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Solution

The fourth proportional to 584,408.63, 876,608.34 and 314,663.15 is: 471,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,408.63 : 876,608.34 = 314,663.15 : x
  2. Step 2: Convert to fraction form
    584,408.63/876,608.34 = 314,663.15/x
  3. Step 3: Cross multiply
    584,408.63x = 876,608.34 × 314,663.15
  4. Step 4: Simplify right side
    584,408.63x = 275,836,341,580.67
  5. Step 5: Solve for x
    x = 275,836,341,580.67/584,408.63
  6. Step 6: Final answer
    x = 471,992.25

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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.