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Finding the Fourth Proportional to 512,057.17, 706,725.17 and 297,376.93

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Solution

The fourth proportional to 512,057.17, 706,725.17 and 297,376.93 is: 410,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,057.17 : 706,725.17 = 297,376.93 : x
  2. Step 2: Convert to fraction form
    512,057.17/706,725.17 = 297,376.93/x
  3. Step 3: Cross multiply
    512,057.17x = 706,725.17 × 297,376.93
  4. Step 4: Simplify right side
    512,057.17x = 210,163,761,408.33
  5. Step 5: Solve for x
    x = 210,163,761,408.33/512,057.17
  6. Step 6: Final answer
    x = 410,430.27

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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.