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Finding the Fourth Proportional to 405,075.60, 559,038.24 and 235,299.60

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Solution

The fourth proportional to 405,075.60, 559,038.24 and 235,299.60 is: 324,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.60 : 559,038.24 = 235,299.60 : x
  2. Step 2: Convert to fraction form
    405,075.60/559,038.24 = 235,299.60/x
  3. Step 3: Cross multiply
    405,075.60x = 559,038.24 × 235,299.60
  4. Step 4: Simplify right side
    405,075.60x = 131,541,474,256.70
  5. Step 5: Solve for x
    x = 131,541,474,256.70/405,075.60
  6. Step 6: Final answer
    x = 324,733.15

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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.