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Finding the Fourth Proportional to 584,699.69, 807,659.96 and 470,408.90

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Solution

The fourth proportional to 584,699.69, 807,659.96 and 470,408.90 is: 649,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,699.69 : 807,659.96 = 470,408.90 : x
  2. Step 2: Convert to fraction form
    584,699.69/807,659.96 = 470,408.90/x
  3. Step 3: Cross multiply
    584,699.69x = 807,659.96 × 470,408.90
  4. Step 4: Simplify right side
    584,699.69x = 379,930,426,967.30
  5. Step 5: Solve for x
    x = 379,930,426,967.30/584,699.69
  6. Step 6: Final answer
    x = 649,787.29

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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.