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Finding the Fourth Proportional to 519,418.50, 716,841.30 and 293,107.74

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Solution

The fourth proportional to 519,418.50, 716,841.30 and 293,107.74 is: 404,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,418.50 : 716,841.30 = 293,107.74 : x
  2. Step 2: Convert to fraction form
    519,418.50/716,841.30 = 293,107.74/x
  3. Step 3: Cross multiply
    519,418.50x = 716,841.30 × 293,107.74
  4. Step 4: Simplify right side
    519,418.50x = 210,111,733,381.66
  5. Step 5: Solve for x
    x = 210,111,733,381.66/519,418.50
  6. Step 6: Final answer
    x = 404,513.38

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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.