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Finding the Fourth Proportional to 468,284.26, 646,232.34 and 253,424.38

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Solution

The fourth proportional to 468,284.26, 646,232.34 and 253,424.38 is: 349,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,284.26 : 646,232.34 = 253,424.38 : x
  2. Step 2: Convert to fraction form
    468,284.26/646,232.34 = 253,424.38/x
  3. Step 3: Cross multiply
    468,284.26x = 646,232.34 × 253,424.38
  4. Step 4: Simplify right side
    468,284.26x = 163,771,030,100.45
  5. Step 5: Solve for x
    x = 163,771,030,100.45/468,284.26
  6. Step 6: Final answer
    x = 349,725.68

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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.