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Finding the Fourth Proportional to 465,497.10, 698,245.65 and 229,301.10

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Solution

The fourth proportional to 465,497.10, 698,245.65 and 229,301.10 is: 343,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,497.10 : 698,245.65 = 229,301.10 : x
  2. Step 2: Convert to fraction form
    465,497.10/698,245.65 = 229,301.10/x
  3. Step 3: Cross multiply
    465,497.10x = 698,245.65 × 229,301.10
  4. Step 4: Simplify right side
    465,497.10x = 160,108,495,615.22
  5. Step 5: Solve for x
    x = 160,108,495,615.22/465,497.10
  6. Step 6: Final answer
    x = 343,951.65

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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.