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Finding the Fourth Proportional to 306,895.80, 461,034.90 and 298,601.40

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Solution

The fourth proportional to 306,895.80, 461,034.90 and 298,601.40 is: 448,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,895.80 : 461,034.90 = 298,601.40 : x
  2. Step 2: Convert to fraction form
    306,895.80/461,034.90 = 298,601.40/x
  3. Step 3: Cross multiply
    306,895.80x = 461,034.90 × 298,601.40
  4. Step 4: Simplify right side
    306,895.80x = 137,665,666,588.86
  5. Step 5: Solve for x
    x = 137,665,666,588.86/306,895.80
  6. Step 6: Final answer
    x = 448,574.62

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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.