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Finding the Fourth Proportional to 296,333.64, 408,940.40 and 160,367.60

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Solution

The fourth proportional to 296,333.64, 408,940.40 and 160,367.60 is: 221,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,333.64 : 408,940.40 = 160,367.60 : x
  2. Step 2: Convert to fraction form
    296,333.64/408,940.40 = 160,367.60/x
  3. Step 3: Cross multiply
    296,333.64x = 408,940.40 × 160,367.60
  4. Step 4: Simplify right side
    296,333.64x = 65,580,791,914.31
  5. Step 5: Solve for x
    x = 65,580,791,914.31/296,333.64
  6. Step 6: Final answer
    x = 221,307.28

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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.