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Finding the Fourth Proportional to 408,041.10, 612,061.65 and 303,065.10

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Solution

The fourth proportional to 408,041.10, 612,061.65 and 303,065.10 is: 454,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,041.10 : 612,061.65 = 303,065.10 : x
  2. Step 2: Convert to fraction form
    408,041.10/612,061.65 = 303,065.10/x
  3. Step 3: Cross multiply
    408,041.10x = 612,061.65 × 303,065.10
  4. Step 4: Simplify right side
    408,041.10x = 185,494,525,163.42
  5. Step 5: Solve for x
    x = 185,494,525,163.42/408,041.10
  6. Step 6: Final answer
    x = 454,597.65

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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.