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Finding the Fourth Proportional to 301,307.61, 415,803.36 and 165,343.83

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Solution

The fourth proportional to 301,307.61, 415,803.36 and 165,343.83 is: 228,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,307.61 : 415,803.36 = 165,343.83 : x
  2. Step 2: Convert to fraction form
    301,307.61/415,803.36 = 165,343.83/x
  3. Step 3: Cross multiply
    301,307.61x = 415,803.36 × 165,343.83
  4. Step 4: Simplify right side
    301,307.61x = 68,750,520,069.27
  5. Step 5: Solve for x
    x = 68,750,520,069.27/301,307.61
  6. Step 6: Final answer
    x = 228,173.86

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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.