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Finding the Fourth Proportional to 383,714.40, 575,830.80 and 250,269.60

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Solution

The fourth proportional to 383,714.40, 575,830.80 and 250,269.60 is: 375,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.40 : 575,830.80 = 250,269.60 : x
  2. Step 2: Convert to fraction form
    383,714.40/575,830.80 = 250,269.60/x
  3. Step 3: Cross multiply
    383,714.40x = 575,830.80 × 250,269.60
  4. Step 4: Simplify right side
    383,714.40x = 144,112,943,983.68
  5. Step 5: Solve for x
    x = 144,112,943,983.68/383,714.40
  6. Step 6: Final answer
    x = 375,573.46

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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.