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Finding the Fourth Proportional to 580,907.18, 869,495.99 and 310,359.24

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Solution

The fourth proportional to 580,907.18, 869,495.99 and 310,359.24 is: 464,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,907.18 : 869,495.99 = 310,359.24 : x
  2. Step 2: Convert to fraction form
    580,907.18/869,495.99 = 310,359.24/x
  3. Step 3: Cross multiply
    580,907.18x = 869,495.99 × 310,359.24
  4. Step 4: Simplify right side
    580,907.18x = 269,856,113,087.65
  5. Step 5: Solve for x
    x = 269,856,113,087.65/580,907.18
  6. Step 6: Final answer
    x = 464,542.57

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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.