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Finding the Fourth Proportional to 405,878.36, 609,027.54 and 294,478.06

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Solution

The fourth proportional to 405,878.36, 609,027.54 and 294,478.06 is: 441,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.36 : 609,027.54 = 294,478.06 : x
  2. Step 2: Convert to fraction form
    405,878.36/609,027.54 = 294,478.06/x
  3. Step 3: Cross multiply
    405,878.36x = 609,027.54 × 294,478.06
  4. Step 4: Simplify right side
    405,878.36x = 179,345,248,465.77
  5. Step 5: Solve for x
    x = 179,345,248,465.77/405,878.36
  6. Step 6: Final answer
    x = 441,869.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.