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Finding the Fourth Proportional to 405,030.31, 559,010.06 and 235,362.85

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Solution

The fourth proportional to 405,030.31, 559,010.06 and 235,362.85 is: 324,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030.31 : 559,010.06 = 235,362.85 : x
  2. Step 2: Convert to fraction form
    405,030.31/559,010.06 = 235,362.85/x
  3. Step 3: Cross multiply
    405,030.31x = 559,010.06 × 235,362.85
  4. Step 4: Simplify right side
    405,030.31x = 131,570,199,208.54
  5. Step 5: Solve for x
    x = 131,570,199,208.54/405,030.31
  6. Step 6: Final answer
    x = 324,840.38

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Why These Related Problems?

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