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Finding the Fourth Proportional to 516,171.66, 712,336.89 and 286,746.37

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Solution

The fourth proportional to 516,171.66, 712,336.89 and 286,746.37 is: 395,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,171.66 : 712,336.89 = 286,746.37 : x
  2. Step 2: Convert to fraction form
    516,171.66/712,336.89 = 286,746.37/x
  3. Step 3: Cross multiply
    516,171.66x = 712,336.89 × 286,746.37
  4. Step 4: Simplify right side
    516,171.66x = 204,260,017,424.59
  5. Step 5: Solve for x
    x = 204,260,017,424.59/516,171.66
  6. Step 6: Final answer
    x = 395,721.10

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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.