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Finding the Fourth Proportional to 328,769.20, 493,153.80 and 188,412.40

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Solution

The fourth proportional to 328,769.20, 493,153.80 and 188,412.40 is: 282,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,769.20 : 493,153.80 = 188,412.40 : x
  2. Step 2: Convert to fraction form
    328,769.20/493,153.80 = 188,412.40/x
  3. Step 3: Cross multiply
    328,769.20x = 493,153.80 × 188,412.40
  4. Step 4: Simplify right side
    328,769.20x = 92,916,291,027.12
  5. Step 5: Solve for x
    x = 92,916,291,027.12/328,769.20
  6. Step 6: Final answer
    x = 282,618.60

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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.