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Finding the Fourth Proportional to 457,161.60, 683,798.40 and 410,116.80

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Solution

The fourth proportional to 457,161.60, 683,798.40 and 410,116.80 is: 613,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,161.60 : 683,798.40 = 410,116.80 : x
  2. Step 2: Convert to fraction form
    457,161.60/683,798.40 = 410,116.80/x
  3. Step 3: Cross multiply
    457,161.60x = 683,798.40 × 410,116.80
  4. Step 4: Simplify right side
    457,161.60x = 280,437,211,653.12
  5. Step 5: Solve for x
    x = 280,437,211,653.12/457,161.60
  6. Step 6: Final answer
    x = 613,431.25

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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.