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Finding the Fourth Proportional to 509,513.20, 764,075.40 and 154,409.20

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Solution

The fourth proportional to 509,513.20, 764,075.40 and 154,409.20 is: 231,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,513.20 : 764,075.40 = 154,409.20 : x
  2. Step 2: Convert to fraction form
    509,513.20/764,075.40 = 154,409.20/x
  3. Step 3: Cross multiply
    509,513.20x = 764,075.40 × 154,409.20
  4. Step 4: Simplify right side
    509,513.20x = 117,980,271,253.68
  5. Step 5: Solve for x
    x = 117,980,271,253.68/509,513.20
  6. Step 6: Final answer
    x = 231,554.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.