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Finding the Fourth Proportional to 311,417.58, 429,756.20 and 168,177.60

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Solution

The fourth proportional to 311,417.58, 429,756.20 and 168,177.60 is: 232,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,417.58 : 429,756.20 = 168,177.60 : x
  2. Step 2: Convert to fraction form
    311,417.58/429,756.20 = 168,177.60/x
  3. Step 3: Cross multiply
    311,417.58x = 429,756.20 × 168,177.60
  4. Step 4: Simplify right side
    311,417.58x = 72,275,366,301.12
  5. Step 5: Solve for x
    x = 72,275,366,301.12/311,417.58
  6. Step 6: Final answer
    x = 232,085.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.