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Finding the Fourth Proportional to 331,465.40, 497,198.10 and 286,364.60

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Solution

The fourth proportional to 331,465.40, 497,198.10 and 286,364.60 is: 429,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,465.40 : 497,198.10 = 286,364.60 : x
  2. Step 2: Convert to fraction form
    331,465.40/497,198.10 = 286,364.60/x
  3. Step 3: Cross multiply
    331,465.40x = 497,198.10 × 286,364.60
  4. Step 4: Simplify right side
    331,465.40x = 142,379,935,027.26
  5. Step 5: Solve for x
    x = 142,379,935,027.26/331,465.40
  6. Step 6: Final answer
    x = 429,546.90

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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.