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Finding the Fourth Proportional to 397,500.68, 596,174.96 and 154,341.77

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Solution

The fourth proportional to 397,500.68, 596,174.96 and 154,341.77 is: 231,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,500.68 : 596,174.96 = 154,341.77 : x
  2. Step 2: Convert to fraction form
    397,500.68/596,174.96 = 154,341.77/x
  3. Step 3: Cross multiply
    397,500.68x = 596,174.96 × 154,341.77
  4. Step 4: Simplify right side
    397,500.68x = 92,014,695,961.06
  5. Step 5: Solve for x
    x = 92,014,695,961.06/397,500.68
  6. Step 6: Final answer
    x = 231,483.11

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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.