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Finding the Fourth Proportional to 413,478.90, 570,689.82 and 252,299.43

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Solution

The fourth proportional to 413,478.90, 570,689.82 and 252,299.43 is: 348,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,478.90 : 570,689.82 = 252,299.43 : x
  2. Step 2: Convert to fraction form
    413,478.90/570,689.82 = 252,299.43/x
  3. Step 3: Cross multiply
    413,478.90x = 570,689.82 × 252,299.43
  4. Step 4: Simplify right side
    413,478.90x = 143,984,716,292.80
  5. Step 5: Solve for x
    x = 143,984,716,292.80/413,478.90
  6. Step 6: Final answer
    x = 348,227.48

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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.