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Finding the Fourth Proportional to 286,640.40, 429,442.20 and 233,763.60

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Solution

The fourth proportional to 286,640.40, 429,442.20 and 233,763.60 is: 350,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,640.40 : 429,442.20 = 233,763.60 : x
  2. Step 2: Convert to fraction form
    286,640.40/429,442.20 = 233,763.60/x
  3. Step 3: Cross multiply
    286,640.40x = 429,442.20 × 233,763.60
  4. Step 4: Simplify right side
    286,640.40x = 100,387,954,663.92
  5. Step 5: Solve for x
    x = 100,387,954,663.92/286,640.40
  6. Step 6: Final answer
    x = 350,222.63

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1.5x scale

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.