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Finding the Fourth Proportional to 383,424.60, 575,136.90 and 102,970.20

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Solution

The fourth proportional to 383,424.60, 575,136.90 and 102,970.20 is: 154,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,424.60 : 575,136.90 = 102,970.20 : x
  2. Step 2: Convert to fraction form
    383,424.60/575,136.90 = 102,970.20/x
  3. Step 3: Cross multiply
    383,424.60x = 575,136.90 × 102,970.20
  4. Step 4: Simplify right side
    383,424.60x = 59,221,961,620.38
  5. Step 5: Solve for x
    x = 59,221,961,620.38/383,424.60
  6. Step 6: Final answer
    x = 154,455.30

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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.