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Finding the Fourth Proportional to 405,878.86, 609,028.29 and 294,478.56

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Solution

The fourth proportional to 405,878.86, 609,028.29 and 294,478.56 is: 441,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.86 : 609,028.29 = 294,478.56 : x
  2. Step 2: Convert to fraction form
    405,878.86/609,028.29 = 294,478.56/x
  3. Step 3: Cross multiply
    405,878.86x = 609,028.29 × 294,478.56
  4. Step 4: Simplify right side
    405,878.86x = 179,345,773,838.46
  5. Step 5: Solve for x
    x = 179,345,773,838.46/405,878.86
  6. Step 6: Final answer
    x = 441,870.20

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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.