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Finding the Fourth Proportional to 318,095.96, 478,135.74 and 200,522.84

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Solution

The fourth proportional to 318,095.96, 478,135.74 and 200,522.84 is: 301,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,095.96 : 478,135.74 = 200,522.84 : x
  2. Step 2: Convert to fraction form
    318,095.96/478,135.74 = 200,522.84/x
  3. Step 3: Cross multiply
    318,095.96x = 478,135.74 × 200,522.84
  4. Step 4: Simplify right side
    318,095.96x = 95,877,136,490.30
  5. Step 5: Solve for x
    x = 95,877,136,490.30/318,095.96
  6. Step 6: Final answer
    x = 301,409.48

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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.