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Finding the Fourth Proportional to 407,722.80, 611,681.40 and 197,187.60

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Solution

The fourth proportional to 407,722.80, 611,681.40 and 197,187.60 is: 295,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.80 : 611,681.40 = 197,187.60 : x
  2. Step 2: Convert to fraction form
    407,722.80/611,681.40 = 197,187.60/x
  3. Step 3: Cross multiply
    407,722.80x = 611,681.40 × 197,187.60
  4. Step 4: Simplify right side
    407,722.80x = 120,615,987,230.64
  5. Step 5: Solve for x
    x = 120,615,987,230.64/407,722.80
  6. Step 6: Final answer
    x = 295,828.41

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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.