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Finding the Fourth Proportional to 301,342.14, 415,852.92 and 165,377.16

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Solution

The fourth proportional to 301,342.14, 415,852.92 and 165,377.16 is: 228,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.14 : 415,852.92 = 165,377.16 : x
  2. Step 2: Convert to fraction form
    301,342.14/415,852.92 = 165,377.16/x
  3. Step 3: Cross multiply
    301,342.14x = 415,852.92 × 165,377.16
  4. Step 4: Simplify right side
    301,342.14x = 68,772,574,887.31
  5. Step 5: Solve for x
    x = 68,772,574,887.31/301,342.14
  6. Step 6: Final answer
    x = 228,220.90

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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.