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Finding the Fourth Proportional to 468,247.14, 646,180.29 and 264,340.98

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Solution

The fourth proportional to 468,247.14, 646,180.29 and 264,340.98 is: 364,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,247.14 : 646,180.29 = 264,340.98 : x
  2. Step 2: Convert to fraction form
    468,247.14/646,180.29 = 264,340.98/x
  3. Step 3: Cross multiply
    468,247.14x = 646,180.29 × 264,340.98
  4. Step 4: Simplify right side
    468,247.14x = 170,811,931,115.28
  5. Step 5: Solve for x
    x = 170,811,931,115.28/468,247.14
  6. Step 6: Final answer
    x = 364,790.12

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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.