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Finding the Fourth Proportional to 466,825.80, 700,238.70 and 407,776.80

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Solution

The fourth proportional to 466,825.80, 700,238.70 and 407,776.80 is: 611,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,825.80 : 700,238.70 = 407,776.80 : x
  2. Step 2: Convert to fraction form
    466,825.80/700,238.70 = 407,776.80/x
  3. Step 3: Cross multiply
    466,825.80x = 700,238.70 × 407,776.80
  4. Step 4: Simplify right side
    466,825.80x = 285,541,096,322.16
  5. Step 5: Solve for x
    x = 285,541,096,322.16/466,825.80
  6. Step 6: Final answer
    x = 611,665.20

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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.