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Finding the Fourth Proportional to 338,894.40, 507,986.90 and 114,177.19

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Solution

The fourth proportional to 338,894.40, 507,986.90 and 114,177.19 is: 171,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894.40 : 507,986.90 = 114,177.19 : x
  2. Step 2: Convert to fraction form
    338,894.40/507,986.90 = 114,177.19/x
  3. Step 3: Cross multiply
    338,894.40x = 507,986.90 × 114,177.19
  4. Step 4: Simplify right side
    338,894.40x = 58,000,516,798.81
  5. Step 5: Solve for x
    x = 58,000,516,798.81/338,894.40
  6. Step 6: Final answer
    x = 171,146.28

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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.