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Finding the Fourth Proportional to 301,283.04, 415,770.30 and 165,317.76

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Solution

The fourth proportional to 301,283.04, 415,770.30 and 165,317.76 is: 228,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,283.04 : 415,770.30 = 165,317.76 : x
  2. Step 2: Convert to fraction form
    301,283.04/415,770.30 = 165,317.76/x
  3. Step 3: Cross multiply
    301,283.04x = 415,770.30 × 165,317.76
  4. Step 4: Simplify right side
    301,283.04x = 68,734,214,670.53
  5. Step 5: Solve for x
    x = 68,734,214,670.53/301,283.04
  6. Step 6: Final answer
    x = 228,138.35

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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.