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Finding the Fourth Proportional to 301,229, 415,652.84 and 180,341.36

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Solution

The fourth proportional to 301,229, 415,652.84 and 180,341.36 is: 248,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,229 : 415,652.84 = 180,341.36 : x
  2. Step 2: Convert to fraction form
    301,229/415,652.84 = 180,341.36/x
  3. Step 3: Cross multiply
    301,229x = 415,652.84 × 180,341.36
  4. Step 4: Simplify right side
    301,229x = 74,959,398,453.46
  5. Step 5: Solve for x
    x = 74,959,398,453.46/301,229
  6. Step 6: Final answer
    x = 248,845.23

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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.