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Finding the Fourth Proportional to 382,225.94, 573,408.11 and 157,461.47

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Solution

The fourth proportional to 382,225.94, 573,408.11 and 157,461.47 is: 236,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,225.94 : 573,408.11 = 157,461.47 : x
  2. Step 2: Convert to fraction form
    382,225.94/573,408.11 = 157,461.47/x
  3. Step 3: Cross multiply
    382,225.94x = 573,408.11 × 157,461.47
  4. Step 4: Simplify right side
    382,225.94x = 90,289,683,587.42
  5. Step 5: Solve for x
    x = 90,289,683,587.42/382,225.94
  6. Step 6: Final answer
    x = 236,220.71

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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.