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Finding the Fourth Proportional to 338,453.64, 507,705.48 and 113,813.19

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Solution

The fourth proportional to 338,453.64, 507,705.48 and 113,813.19 is: 170,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,453.64 : 507,705.48 = 113,813.19 : x
  2. Step 2: Convert to fraction form
    338,453.64/507,705.48 = 113,813.19/x
  3. Step 3: Cross multiply
    338,453.64x = 507,705.48 × 113,813.19
  4. Step 4: Simplify right side
    338,453.64x = 57,783,580,259.28
  5. Step 5: Solve for x
    x = 57,783,580,259.28/338,453.64
  6. Step 6: Final answer
    x = 170,728.20

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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.