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Finding the Fourth Proportional to 468,182.25, 646,022.18 and 284,325.19

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Solution

The fourth proportional to 468,182.25, 646,022.18 and 284,325.19 is: 392,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,182.25 : 646,022.18 = 284,325.19 : x
  2. Step 2: Convert to fraction form
    468,182.25/646,022.18 = 284,325.19/x
  3. Step 3: Cross multiply
    468,182.25x = 646,022.18 × 284,325.19
  4. Step 4: Simplify right side
    468,182.25x = 183,680,378,168.47
  5. Step 5: Solve for x
    x = 183,680,378,168.47/468,182.25
  6. Step 6: Final answer
    x = 392,326.66

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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.