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Finding the Fourth Proportional to 430,414.77, 645,616.89 and 193,590.21

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Solution

The fourth proportional to 430,414.77, 645,616.89 and 193,590.21 is: 290,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,414.77 : 645,616.89 = 193,590.21 : x
  2. Step 2: Convert to fraction form
    430,414.77/645,616.89 = 193,590.21/x
  3. Step 3: Cross multiply
    430,414.77x = 645,616.89 × 193,590.21
  4. Step 4: Simplify right side
    430,414.77x = 124,985,109,314.65
  5. Step 5: Solve for x
    x = 124,985,109,314.65/430,414.77
  6. Step 6: Final answer
    x = 290,382.95

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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.