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Finding the Fourth Proportional to 301,854.84, 416,539.56 and 165,885.96

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Solution

The fourth proportional to 301,854.84, 416,539.56 and 165,885.96 is: 228,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854.84 : 416,539.56 = 165,885.96 : x
  2. Step 2: Convert to fraction form
    301,854.84/416,539.56 = 165,885.96/x
  3. Step 3: Cross multiply
    301,854.84x = 416,539.56 × 165,885.96
  4. Step 4: Simplify right side
    301,854.84x = 69,098,064,788.58
  5. Step 5: Solve for x
    x = 69,098,064,788.58/301,854.84
  6. Step 6: Final answer
    x = 228,911.57

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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.