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Finding the Fourth Proportional to 508,254.21, 762,225.75 and 171,204.48

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Solution

The fourth proportional to 508,254.21, 762,225.75 and 171,204.48 is: 256,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,254.21 : 762,225.75 = 171,204.48 : x
  2. Step 2: Convert to fraction form
    508,254.21/762,225.75 = 171,204.48/x
  3. Step 3: Cross multiply
    508,254.21x = 762,225.75 × 171,204.48
  4. Step 4: Simplify right side
    508,254.21x = 130,496,463,171.36
  5. Step 5: Solve for x
    x = 130,496,463,171.36/508,254.21
  6. Step 6: Final answer
    x = 256,754.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.