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Finding the Fourth Proportional to 383,400.60, 575,100.90 and 102,946.20

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Solution

The fourth proportional to 383,400.60, 575,100.90 and 102,946.20 is: 154,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400.60 : 575,100.90 = 102,946.20 : x
  2. Step 2: Convert to fraction form
    383,400.60/575,100.90 = 102,946.20/x
  3. Step 3: Cross multiply
    383,400.60x = 575,100.90 × 102,946.20
  4. Step 4: Simplify right side
    383,400.60x = 59,204,452,271.58
  5. Step 5: Solve for x
    x = 59,204,452,271.58/383,400.60
  6. Step 6: Final answer
    x = 154,419.30

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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.