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Finding the Fourth Proportional to 385,625.20, 578,524.20 and 148,946.80

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Solution

The fourth proportional to 385,625.20, 578,524.20 and 148,946.80 is: 223,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,625.20 : 578,524.20 = 148,946.80 : x
  2. Step 2: Convert to fraction form
    385,625.20/578,524.20 = 148,946.80/x
  3. Step 3: Cross multiply
    385,625.20x = 578,524.20 × 148,946.80
  4. Step 4: Simplify right side
    385,625.20x = 86,169,328,312.56
  5. Step 5: Solve for x
    x = 86,169,328,312.56/385,625.20
  6. Step 6: Final answer
    x = 223,453.57

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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.