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Finding the Fourth Proportional to 312,314.55, 468,401.66 and 143,672.91

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Solution

The fourth proportional to 312,314.55, 468,401.66 and 143,672.91 is: 215,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,314.55 : 468,401.66 = 143,672.91 : x
  2. Step 2: Convert to fraction form
    312,314.55/468,401.66 = 143,672.91/x
  3. Step 3: Cross multiply
    312,314.55x = 468,401.66 × 143,672.91
  4. Step 4: Simplify right side
    312,314.55x = 67,296,628,822.67
  5. Step 5: Solve for x
    x = 67,296,628,822.67/312,314.55
  6. Step 6: Final answer
    x = 215,477.08

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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.