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Finding the Fourth Proportional to 328,098.20, 490,835.10 and 284,212.40

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Solution

The fourth proportional to 328,098.20, 490,835.10 and 284,212.40 is: 425,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,098.20 : 490,835.10 = 284,212.40 : x
  2. Step 2: Convert to fraction form
    328,098.20/490,835.10 = 284,212.40/x
  3. Step 3: Cross multiply
    328,098.20x = 490,835.10 × 284,212.40
  4. Step 4: Simplify right side
    328,098.20x = 139,501,421,775.24
  5. Step 5: Solve for x
    x = 139,501,421,775.24/328,098.20
  6. Step 6: Final answer
    x = 425,181.92

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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.