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Finding the Fourth Proportional to 405,283.36, 559,312.28 and 233,227.55

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Solution

The fourth proportional to 405,283.36, 559,312.28 and 233,227.55 is: 321,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,283.36 : 559,312.28 = 233,227.55 : x
  2. Step 2: Convert to fraction form
    405,283.36/559,312.28 = 233,227.55/x
  3. Step 3: Cross multiply
    405,283.36x = 559,312.28 × 233,227.55
  4. Step 4: Simplify right side
    405,283.36x = 130,447,032,749.31
  5. Step 5: Solve for x
    x = 130,447,032,749.31/405,283.36
  6. Step 6: Final answer
    x = 321,866.24

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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.