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Finding the Fourth Proportional to 520,051.20, 778,521.60 and 309,580.80

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Solution

The fourth proportional to 520,051.20, 778,521.60 and 309,580.80 is: 463,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.20 : 778,521.60 = 309,580.80 : x
  2. Step 2: Convert to fraction form
    520,051.20/778,521.60 = 309,580.80/x
  3. Step 3: Cross multiply
    520,051.20x = 778,521.60 × 309,580.80
  4. Step 4: Simplify right side
    520,051.20x = 241,015,339,745.28
  5. Step 5: Solve for x
    x = 241,015,339,745.28/520,051.20
  6. Step 6: Final answer
    x = 463,445.41

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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.