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Finding the Fourth Proportional to 433,045.86, 649,379.25 and 230,599.32

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Solution

The fourth proportional to 433,045.86, 649,379.25 and 230,599.32 is: 345,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,045.86 : 649,379.25 = 230,599.32 : x
  2. Step 2: Convert to fraction form
    433,045.86/649,379.25 = 230,599.32/x
  3. Step 3: Cross multiply
    433,045.86x = 649,379.25 × 230,599.32
  4. Step 4: Simplify right side
    433,045.86x = 149,746,413,472.11
  5. Step 5: Solve for x
    x = 149,746,413,472.11/433,045.86
  6. Step 6: Final answer
    x = 345,798.05

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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.