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Finding the Fourth Proportional to 295,709.60, 415,043.20 and 295,709.60

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Solution

The fourth proportional to 295,709.60, 415,043.20 and 295,709.60 is: 415,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,709.60 : 415,043.20 = 295,709.60 : x
  2. Step 2: Convert to fraction form
    295,709.60/415,043.20 = 295,709.60/x
  3. Step 3: Cross multiply
    295,709.60x = 415,043.20 × 295,709.60
  4. Step 4: Simplify right side
    295,709.60x = 122,732,258,654.72
  5. Step 5: Solve for x
    x = 122,732,258,654.72/295,709.60
  6. Step 6: Final answer
    x = 415,043.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.