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Finding the Fourth Proportional to 516,383.81, 712,609.72 and 286,934.37

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Solution

The fourth proportional to 516,383.81, 712,609.72 and 286,934.37 is: 395,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,383.81 : 712,609.72 = 286,934.37 : x
  2. Step 2: Convert to fraction form
    516,383.81/712,609.72 = 286,934.37/x
  3. Step 3: Cross multiply
    516,383.81x = 712,609.72 × 286,934.37
  4. Step 4: Simplify right side
    516,383.81x = 204,472,217,674.45
  5. Step 5: Solve for x
    x = 204,472,217,674.45/516,383.81
  6. Step 6: Final answer
    x = 395,969.46

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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.