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Finding the Fourth Proportional to 290,377.40, 435,621.24 and 100,830.44

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Solution

The fourth proportional to 290,377.40, 435,621.24 and 100,830.44 is: 151,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,377.40 : 435,621.24 = 100,830.44 : x
  2. Step 2: Convert to fraction form
    290,377.40/435,621.24 = 100,830.44/x
  3. Step 3: Cross multiply
    290,377.40x = 435,621.24 × 100,830.44
  4. Step 4: Simplify right side
    290,377.40x = 43,923,881,302.55
  5. Step 5: Solve for x
    x = 43,923,881,302.55/290,377.40
  6. Step 6: Final answer
    x = 151,264.81

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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.