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Finding the Fourth Proportional to 415,865.60, 624,014.40 and 194,249.60

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Solution

The fourth proportional to 415,865.60, 624,014.40 and 194,249.60 is: 291,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,865.60 : 624,014.40 = 194,249.60 : x
  2. Step 2: Convert to fraction form
    415,865.60/624,014.40 = 194,249.60/x
  3. Step 3: Cross multiply
    415,865.60x = 624,014.40 × 194,249.60
  4. Step 4: Simplify right side
    415,865.60x = 121,214,547,594.24
  5. Step 5: Solve for x
    x = 121,214,547,594.24/415,865.60
  6. Step 6: Final answer
    x = 291,475.29

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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.