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Finding the Fourth Proportional to 328,234.80, 492,055.20 and 228,442.80

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Solution

The fourth proportional to 328,234.80, 492,055.20 and 228,442.80 is: 342,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,234.80 : 492,055.20 = 228,442.80 : x
  2. Step 2: Convert to fraction form
    328,234.80/492,055.20 = 228,442.80/x
  3. Step 3: Cross multiply
    328,234.80x = 492,055.20 × 228,442.80
  4. Step 4: Simplify right side
    328,234.80x = 112,406,467,642.56
  5. Step 5: Solve for x
    x = 112,406,467,642.56/328,234.80
  6. Step 6: Final answer
    x = 342,457.50

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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.