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Finding the Fourth Proportional to 429,851.40, 644,777.10 and 377,363.40

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Solution

The fourth proportional to 429,851.40, 644,777.10 and 377,363.40 is: 566,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,851.40 : 644,777.10 = 377,363.40 : x
  2. Step 2: Convert to fraction form
    429,851.40/644,777.10 = 377,363.40/x
  3. Step 3: Cross multiply
    429,851.40x = 644,777.10 × 377,363.40
  4. Step 4: Simplify right side
    429,851.40x = 243,315,278,698.14
  5. Step 5: Solve for x
    x = 243,315,278,698.14/429,851.40
  6. Step 6: Final answer
    x = 566,045.10

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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.