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Finding the Fourth Proportional to 457,164.60, 683,802.90 and 410,119.80

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Solution

The fourth proportional to 457,164.60, 683,802.90 and 410,119.80 is: 613,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,164.60 : 683,802.90 = 410,119.80 : x
  2. Step 2: Convert to fraction form
    457,164.60/683,802.90 = 410,119.80/x
  3. Step 3: Cross multiply
    457,164.60x = 683,802.90 × 410,119.80
  4. Step 4: Simplify right side
    457,164.60x = 280,441,108,587.42
  5. Step 5: Solve for x
    x = 280,441,108,587.42/457,164.60
  6. Step 6: Final answer
    x = 613,435.75

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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.