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Finding the Fourth Proportional to 301,904.55, 416,628.63 and 165,938.46

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Solution

The fourth proportional to 301,904.55, 416,628.63 and 165,938.46 is: 228,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.55 : 416,628.63 = 165,938.46 : x
  2. Step 2: Convert to fraction form
    301,904.55/416,628.63 = 165,938.46/x
  3. Step 3: Cross multiply
    301,904.55x = 416,628.63 × 165,938.46
  4. Step 4: Simplify right side
    301,904.55x = 69,134,713,254.11
  5. Step 5: Solve for x
    x = 69,134,713,254.11/301,904.55
  6. Step 6: Final answer
    x = 228,995.27

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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.