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Finding the Fourth Proportional to 466,262.40, 699,222.24 and 166,662.12

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Solution

The fourth proportional to 466,262.40, 699,222.24 and 166,662.12 is: 249,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,262.40 : 699,222.24 = 166,662.12 : x
  2. Step 2: Convert to fraction form
    466,262.40/699,222.24 = 166,662.12/x
  3. Step 3: Cross multiply
    466,262.40x = 699,222.24 × 166,662.12
  4. Step 4: Simplify right side
    466,262.40x = 116,533,860,869.55
  5. Step 5: Solve for x
    x = 116,533,860,869.55/466,262.40
  6. Step 6: Final answer
    x = 249,931.93

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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.