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Finding the Fourth Proportional to 301,030.92, 415,427.34 and 165,077.28

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Solution

The fourth proportional to 301,030.92, 415,427.34 and 165,077.28 is: 227,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,030.92 : 415,427.34 = 165,077.28 : x
  2. Step 2: Convert to fraction form
    301,030.92/415,427.34 = 165,077.28/x
  3. Step 3: Cross multiply
    301,030.92x = 415,427.34 × 165,077.28
  4. Step 4: Simplify right side
    301,030.92x = 68,577,615,324.84
  5. Step 5: Solve for x
    x = 68,577,615,324.84/301,030.92
  6. Step 6: Final answer
    x = 227,809.21

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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.