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Finding the Fourth Proportional to 384,846.90, 577,025.82 and 337,556.94

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Solution

The fourth proportional to 384,846.90, 577,025.82 and 337,556.94 is: 506,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,846.90 : 577,025.82 = 337,556.94 : x
  2. Step 2: Convert to fraction form
    384,846.90/577,025.82 = 337,556.94/x
  3. Step 3: Cross multiply
    384,846.90x = 577,025.82 × 337,556.94
  4. Step 4: Simplify right side
    384,846.90x = 194,779,070,100.19
  5. Step 5: Solve for x
    x = 194,779,070,100.19/384,846.90
  6. Step 6: Final answer
    x = 506,120.93

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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.