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Finding the Fourth Proportional to 296,289.50, 408,880.32 and 162,153.50

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Solution

The fourth proportional to 296,289.50, 408,880.32 and 162,153.50 is: 223,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,289.50 : 408,880.32 = 162,153.50 : x
  2. Step 2: Convert to fraction form
    296,289.50/408,880.32 = 162,153.50/x
  3. Step 3: Cross multiply
    296,289.50x = 408,880.32 × 162,153.50
  4. Step 4: Simplify right side
    296,289.50x = 66,301,374,969.12
  5. Step 5: Solve for x
    x = 66,301,374,969.12/296,289.50
  6. Step 6: Final answer
    x = 223,772.27

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1.5x scale

Why These Related Problems?

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