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Finding the Fourth Proportional to 407,709.40, 611,564.10 and 403,772.80

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Solution

The fourth proportional to 407,709.40, 611,564.10 and 403,772.80 is: 605,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,709.40 : 611,564.10 = 403,772.80 : x
  2. Step 2: Convert to fraction form
    407,709.40/611,564.10 = 403,772.80/x
  3. Step 3: Cross multiply
    407,709.40x = 611,564.10 × 403,772.80
  4. Step 4: Simplify right side
    407,709.40x = 246,932,949,036.48
  5. Step 5: Solve for x
    x = 246,932,949,036.48/407,709.40
  6. Step 6: Final answer
    x = 605,659.20

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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.