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Finding the Fourth Proportional to 295,157.76, 407,193.60 and 205,785.60

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Solution

The fourth proportional to 295,157.76, 407,193.60 and 205,785.60 is: 283,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,157.76 : 407,193.60 = 205,785.60 : x
  2. Step 2: Convert to fraction form
    295,157.76/407,193.60 = 205,785.60/x
  3. Step 3: Cross multiply
    295,157.76x = 407,193.60 × 205,785.60
  4. Step 4: Simplify right side
    295,157.76x = 83,794,579,292.16
  5. Step 5: Solve for x
    x = 83,794,579,292.16/295,157.76
  6. Step 6: Final answer
    x = 283,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.