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Finding the Fourth Proportional to 297,458.64, 446,196.15 and 87,096.60

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Solution

The fourth proportional to 297,458.64, 446,196.15 and 87,096.60 is: 130,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.64 : 446,196.15 = 87,096.60 : x
  2. Step 2: Convert to fraction form
    297,458.64/446,196.15 = 87,096.60/x
  3. Step 3: Cross multiply
    297,458.64x = 446,196.15 × 87,096.60
  4. Step 4: Simplify right side
    297,458.64x = 38,862,167,598.09
  5. Step 5: Solve for x
    x = 38,862,167,598.09/297,458.64
  6. Step 6: Final answer
    x = 130,647.30

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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.