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Finding the Fourth Proportional to 415,927.60, 624,107.40 and 194,311.60

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Solution

The fourth proportional to 415,927.60, 624,107.40 and 194,311.60 is: 291,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,927.60 : 624,107.40 = 194,311.60 : x
  2. Step 2: Convert to fraction form
    415,927.60/624,107.40 = 194,311.60/x
  3. Step 3: Cross multiply
    415,927.60x = 624,107.40 × 194,311.60
  4. Step 4: Simplify right side
    415,927.60x = 121,271,307,465.84
  5. Step 5: Solve for x
    x = 121,271,307,465.84/415,927.60
  6. Step 6: Final answer
    x = 291,568.31

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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.