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Finding the Fourth Proportional to 382,018.74, 572,831.25 and 171,476.22

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Solution

The fourth proportional to 382,018.74, 572,831.25 and 171,476.22 is: 257,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,018.74 : 572,831.25 = 171,476.22 : x
  2. Step 2: Convert to fraction form
    382,018.74/572,831.25 = 171,476.22/x
  3. Step 3: Cross multiply
    382,018.74x = 572,831.25 × 171,476.22
  4. Step 4: Simplify right side
    382,018.74x = 98,226,937,447.88
  5. Step 5: Solve for x
    x = 98,226,937,447.88/382,018.74
  6. Step 6: Final answer
    x = 257,125.97

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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.