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Finding the Fourth Proportional to 407,589.98, 611,490.67 and 154,874.84

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Solution

The fourth proportional to 407,589.98, 611,490.67 and 154,874.84 is: 232,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,589.98 : 611,490.67 = 154,874.84 : x
  2. Step 2: Convert to fraction form
    407,589.98/611,490.67 = 154,874.84/x
  3. Step 3: Cross multiply
    407,589.98x = 611,490.67 × 154,874.84
  4. Step 4: Simplify right side
    407,589.98x = 94,704,516,233.10
  5. Step 5: Solve for x
    x = 94,704,516,233.10/407,589.98
  6. Step 6: Final answer
    x = 232,352.42

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1.5x scale

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.