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Finding the Fourth Proportional to 428,088.80, 641,672.40 and 161,746.40

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Solution

The fourth proportional to 428,088.80, 641,672.40 and 161,746.40 is: 242,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,088.80 : 641,672.40 = 161,746.40 : x
  2. Step 2: Convert to fraction form
    428,088.80/641,672.40 = 161,746.40/x
  3. Step 3: Cross multiply
    428,088.80x = 641,672.40 × 161,746.40
  4. Step 4: Simplify right side
    428,088.80x = 103,788,200,679.36
  5. Step 5: Solve for x
    x = 103,788,200,679.36/428,088.80
  6. Step 6: Final answer
    x = 242,445.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.