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Finding the Fourth Proportional to 358,609.40, 537,914.10 and 209,018.60

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Solution

The fourth proportional to 358,609.40, 537,914.10 and 209,018.60 is: 313,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,609.40 : 537,914.10 = 209,018.60 : x
  2. Step 2: Convert to fraction form
    358,609.40/537,914.10 = 209,018.60/x
  3. Step 3: Cross multiply
    358,609.40x = 537,914.10 × 209,018.60
  4. Step 4: Simplify right side
    358,609.40x = 112,434,052,102.26
  5. Step 5: Solve for x
    x = 112,434,052,102.26/358,609.40
  6. Step 6: Final answer
    x = 313,527.90

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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.