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Finding the Fourth Proportional to 468,164.71, 646,069.50 and 264,224.23

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Solution

The fourth proportional to 468,164.71, 646,069.50 and 264,224.23 is: 364,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164.71 : 646,069.50 = 264,224.23 : x
  2. Step 2: Convert to fraction form
    468,164.71/646,069.50 = 264,224.23/x
  3. Step 3: Cross multiply
    468,164.71x = 646,069.50 × 264,224.23
  4. Step 4: Simplify right side
    468,164.71x = 170,707,214,548.81
  5. Step 5: Solve for x
    x = 170,707,214,548.81/468,164.71
  6. Step 6: Final answer
    x = 364,630.67

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1.5x scale

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.