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Finding the Fourth Proportional to 338,501.68, 507,777.58 and 113,861.24

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Solution

The fourth proportional to 338,501.68, 507,777.58 and 113,861.24 is: 170,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501.68 : 507,777.58 = 113,861.24 : x
  2. Step 2: Convert to fraction form
    338,501.68/507,777.58 = 113,861.24/x
  3. Step 3: Cross multiply
    338,501.68x = 507,777.58 × 113,861.24
  4. Step 4: Simplify right side
    338,501.68x = 57,816,184,903.00
  5. Step 5: Solve for x
    x = 57,816,184,903.00/338,501.68
  6. Step 6: Final answer
    x = 170,800.29

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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.