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Finding the Fourth Proportional to 516,336.09, 712,541.50 and 286,930.73

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Solution

The fourth proportional to 516,336.09, 712,541.50 and 286,930.73 is: 395,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,336.09 : 712,541.50 = 286,930.73 : x
  2. Step 2: Convert to fraction form
    516,336.09/712,541.50 = 286,930.73/x
  3. Step 3: Cross multiply
    516,336.09x = 712,541.50 × 286,930.73
  4. Step 4: Simplify right side
    516,336.09x = 204,450,048,470.26
  5. Step 5: Solve for x
    x = 204,450,048,470.26/516,336.09
  6. Step 6: Final answer
    x = 395,963.12

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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.