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Finding the Fourth Proportional to 468,166.28, 646,071.69 and 264,225.80

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Solution

The fourth proportional to 468,166.28, 646,071.69 and 264,225.80 is: 364,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166.28 : 646,071.69 = 264,225.80 : x
  2. Step 2: Convert to fraction form
    468,166.28/646,071.69 = 264,225.80/x
  3. Step 3: Cross multiply
    468,166.28x = 646,071.69 × 264,225.80
  4. Step 4: Simplify right side
    468,166.28x = 170,708,808,119.48
  5. Step 5: Solve for x
    x = 170,708,808,119.48/468,166.28
  6. Step 6: Final answer
    x = 364,632.86

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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.