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Finding the Fourth Proportional to 580,910.58, 869,501.05 and 310,362.62

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Solution

The fourth proportional to 580,910.58, 869,501.05 and 310,362.62 is: 464,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,910.58 : 869,501.05 = 310,362.62 : x
  2. Step 2: Convert to fraction form
    580,910.58/869,501.05 = 310,362.62/x
  3. Step 3: Cross multiply
    580,910.58x = 869,501.05 × 310,362.62
  4. Step 4: Simplify right side
    580,910.58x = 269,860,618,847.34
  5. Step 5: Solve for x
    x = 269,860,618,847.34/580,910.58
  6. Step 6: Final answer
    x = 464,547.61

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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.