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Finding the Fourth Proportional to 394,124.04, 543,891.66 and 224,358

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Solution

The fourth proportional to 394,124.04, 543,891.66 and 224,358 is: 309,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,124.04 : 543,891.66 = 224,358 : x
  2. Step 2: Convert to fraction form
    394,124.04/543,891.66 = 224,358/x
  3. Step 3: Cross multiply
    394,124.04x = 543,891.66 × 224,358
  4. Step 4: Simplify right side
    394,124.04x = 122,026,445,054.28
  5. Step 5: Solve for x
    x = 122,026,445,054.28/394,124.04
  6. Step 6: Final answer
    x = 309,614.32

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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.