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Finding the Fourth Proportional to 382,851.58, 572,834.48 and 228,406.46

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Solution

The fourth proportional to 382,851.58, 572,834.48 and 228,406.46 is: 341,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,851.58 : 572,834.48 = 228,406.46 : x
  2. Step 2: Convert to fraction form
    382,851.58/572,834.48 = 228,406.46/x
  3. Step 3: Cross multiply
    382,851.58x = 572,834.48 × 228,406.46
  4. Step 4: Simplify right side
    382,851.58x = 130,839,095,742.74
  5. Step 5: Solve for x
    x = 130,839,095,742.74/382,851.58
  6. Step 6: Final answer
    x = 341,748.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.