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Finding the Fourth Proportional to 415,856.80, 624,076.80 and 266,460.40

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Solution

The fourth proportional to 415,856.80, 624,076.80 and 266,460.40 is: 399,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,856.80 : 624,076.80 = 266,460.40 : x
  2. Step 2: Convert to fraction form
    415,856.80/624,076.80 = 266,460.40/x
  3. Step 3: Cross multiply
    415,856.80x = 624,076.80 × 266,460.40
  4. Step 4: Simplify right side
    415,856.80x = 166,291,753,758.72
  5. Step 5: Solve for x
    x = 166,291,753,758.72/415,856.80
  6. Step 6: Final answer
    x = 399,877.44

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1.5x scale

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.