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Finding the Fourth Proportional to 466,277.40, 699,704.10 and 185,765.40

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Solution

The fourth proportional to 466,277.40, 699,704.10 and 185,765.40 is: 278,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,277.40 : 699,704.10 = 185,765.40 : x
  2. Step 2: Convert to fraction form
    466,277.40/699,704.10 = 185,765.40/x
  3. Step 3: Cross multiply
    466,277.40x = 699,704.10 × 185,765.40
  4. Step 4: Simplify right side
    466,277.40x = 129,980,812,018.14
  5. Step 5: Solve for x
    x = 129,980,812,018.14/466,277.40
  6. Step 6: Final answer
    x = 278,762.84

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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.