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Finding the Fourth Proportional to 468,269.22, 646,213.16 and 253,409.24

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Solution

The fourth proportional to 468,269.22, 646,213.16 and 253,409.24 is: 349,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,269.22 : 646,213.16 = 253,409.24 : x
  2. Step 2: Convert to fraction form
    468,269.22/646,213.16 = 253,409.24/x
  3. Step 3: Cross multiply
    468,269.22x = 646,213.16 × 253,409.24
  4. Step 4: Simplify right side
    468,269.22x = 163,756,381,255.49
  5. Step 5: Solve for x
    x = 163,756,381,255.49/468,269.22
  6. Step 6: Final answer
    x = 349,705.63

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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.