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Finding the Fourth Proportional to 382,668.84, 573,502.26 and 157,767.48

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Solution

The fourth proportional to 382,668.84, 573,502.26 and 157,767.48 is: 236,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668.84 : 573,502.26 = 157,767.48 : x
  2. Step 2: Convert to fraction form
    382,668.84/573,502.26 = 157,767.48/x
  3. Step 3: Cross multiply
    382,668.84x = 573,502.26 × 157,767.48
  4. Step 4: Simplify right side
    382,668.84x = 90,480,006,334.50
  5. Step 5: Solve for x
    x = 90,480,006,334.50/382,668.84
  6. Step 6: Final answer
    x = 236,444.67

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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.