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Finding the Fourth Proportional to 516,533.91, 712,813.01 and 290,179.41

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Solution

The fourth proportional to 516,533.91, 712,813.01 and 290,179.41 is: 400,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,533.91 : 712,813.01 = 290,179.41 : x
  2. Step 2: Convert to fraction form
    516,533.91/712,813.01 = 290,179.41/x
  3. Step 3: Cross multiply
    516,533.91x = 712,813.01 × 290,179.41
  4. Step 4: Simplify right side
    516,533.91x = 206,843,657,231.23
  5. Step 5: Solve for x
    x = 206,843,657,231.23/516,533.91
  6. Step 6: Final answer
    x = 400,445.46

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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.