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Finding the Fourth Proportional to 383,514.60, 575,271.90 and 277,226.40

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Solution

The fourth proportional to 383,514.60, 575,271.90 and 277,226.40 is: 415,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,514.60 : 575,271.90 = 277,226.40 : x
  2. Step 2: Convert to fraction form
    383,514.60/575,271.90 = 277,226.40/x
  3. Step 3: Cross multiply
    383,514.60x = 575,271.90 × 277,226.40
  4. Step 4: Simplify right side
    383,514.60x = 159,480,557,858.16
  5. Step 5: Solve for x
    x = 159,480,557,858.16/383,514.60
  6. Step 6: Final answer
    x = 415,839.60

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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.