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Finding the Fourth Proportional to 308,718.49, 463,075.08 and 241,307.16

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Solution

The fourth proportional to 308,718.49, 463,075.08 and 241,307.16 is: 361,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,718.49 : 463,075.08 = 241,307.16 : x
  2. Step 2: Convert to fraction form
    308,718.49/463,075.08 = 241,307.16/x
  3. Step 3: Cross multiply
    308,718.49x = 463,075.08 × 241,307.16
  4. Step 4: Simplify right side
    308,718.49x = 111,743,333,036.14
  5. Step 5: Solve for x
    x = 111,743,333,036.14/308,718.49
  6. Step 6: Final answer
    x = 361,958.67

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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.