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Finding the Fourth Proportional to 405,450.96, 559,504.76 and 221,686.16

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Solution

The fourth proportional to 405,450.96, 559,504.76 and 221,686.16 is: 305,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,450.96 : 559,504.76 = 221,686.16 : x
  2. Step 2: Convert to fraction form
    405,450.96/559,504.76 = 221,686.16/x
  3. Step 3: Cross multiply
    405,450.96x = 559,504.76 × 221,686.16
  4. Step 4: Simplify right side
    405,450.96x = 124,034,461,746.12
  5. Step 5: Solve for x
    x = 124,034,461,746.12/405,450.96
  6. Step 6: Final answer
    x = 305,917.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.