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Finding the Fourth Proportional to 315,412.20, 472,340.70 and 209,658.60

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Solution

The fourth proportional to 315,412.20, 472,340.70 and 209,658.60 is: 313,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,412.20 : 472,340.70 = 209,658.60 : x
  2. Step 2: Convert to fraction form
    315,412.20/472,340.70 = 209,658.60/x
  3. Step 3: Cross multiply
    315,412.20x = 472,340.70 × 209,658.60
  4. Step 4: Simplify right side
    315,412.20x = 99,030,289,885.02
  5. Step 5: Solve for x
    x = 99,030,289,885.02/315,412.20
  6. Step 6: Final answer
    x = 313,971.02

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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.