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Finding the Fourth Proportional to 405,143.11, 559,094.21 and 223,854.31

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Solution

The fourth proportional to 405,143.11, 559,094.21 and 223,854.31 is: 308,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,143.11 : 559,094.21 = 223,854.31 : x
  2. Step 2: Convert to fraction form
    405,143.11/559,094.21 = 223,854.31/x
  3. Step 3: Cross multiply
    405,143.11x = 559,094.21 × 223,854.31
  4. Step 4: Simplify right side
    405,143.11x = 125,155,645,809.07
  5. Step 5: Solve for x
    x = 125,155,645,809.07/405,143.11
  6. Step 6: Final answer
    x = 308,917.13

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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.