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Finding the Fourth Proportional to 466,384.40, 699,403.80 and 150,851.60

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Solution

The fourth proportional to 466,384.40, 699,403.80 and 150,851.60 is: 226,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,384.40 : 699,403.80 = 150,851.60 : x
  2. Step 2: Convert to fraction form
    466,384.40/699,403.80 = 150,851.60/x
  3. Step 3: Cross multiply
    466,384.40x = 699,403.80 × 150,851.60
  4. Step 4: Simplify right side
    466,384.40x = 105,506,182,276.08
  5. Step 5: Solve for x
    x = 105,506,182,276.08/466,384.40
  6. Step 6: Final answer
    x = 226,221.51

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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.