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Finding the Fourth Proportional to 513,455.64, 708,333 and 332,226.64

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Solution

The fourth proportional to 513,455.64, 708,333 and 332,226.64 is: 458,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,455.64 : 708,333 = 332,226.64 : x
  2. Step 2: Convert to fraction form
    513,455.64/708,333 = 332,226.64/x
  3. Step 3: Cross multiply
    513,455.64x = 708,333 × 332,226.64
  4. Step 4: Simplify right side
    513,455.64x = 235,327,092,591.12
  5. Step 5: Solve for x
    x = 235,327,092,591.12/513,455.64
  6. Step 6: Final answer
    x = 458,320.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.