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Finding the Fourth Proportional to 301,856.08, 416,534.34 and 165,888.46

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Solution

The fourth proportional to 301,856.08, 416,534.34 and 165,888.46 is: 228,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,856.08 : 416,534.34 = 165,888.46 : x
  2. Step 2: Convert to fraction form
    301,856.08/416,534.34 = 165,888.46/x
  3. Step 3: Cross multiply
    301,856.08x = 416,534.34 × 165,888.46
  4. Step 4: Simplify right side
    301,856.08x = 69,098,240,199.72
  5. Step 5: Solve for x
    x = 69,098,240,199.72/301,856.08
  6. Step 6: Final answer
    x = 228,911.21

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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.