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Finding the Fourth Proportional to 513,505.70, 708,399.07 and 332,276.13

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Solution

The fourth proportional to 513,505.70, 708,399.07 and 332,276.13 is: 458,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,505.70 : 708,399.07 = 332,276.13 : x
  2. Step 2: Convert to fraction form
    513,505.70/708,399.07 = 332,276.13/x
  3. Step 3: Cross multiply
    513,505.70x = 708,399.07 × 332,276.13
  4. Step 4: Simplify right side
    513,505.70x = 235,384,100,644.51
  5. Step 5: Solve for x
    x = 235,384,100,644.51/513,505.70
  6. Step 6: Final answer
    x = 458,386.54

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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.