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Finding the Fourth Proportional to 519,420, 716,843.37 and 293,109.24

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Solution

The fourth proportional to 519,420, 716,843.37 and 293,109.24 is: 404,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,420 : 716,843.37 = 293,109.24 : x
  2. Step 2: Convert to fraction form
    519,420/716,843.37 = 293,109.24/x
  3. Step 3: Cross multiply
    519,420x = 716,843.37 × 293,109.24
  4. Step 4: Simplify right side
    519,420x = 210,113,415,379.74
  5. Step 5: Solve for x
    x = 210,113,415,379.74/519,420
  6. Step 6: Final answer
    x = 404,515.45

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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.