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Finding the Fourth Proportional to 358,535.92, 494,774.16 and 213,443.04

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Solution

The fourth proportional to 358,535.92, 494,774.16 and 213,443.04 is: 294,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,535.92 : 494,774.16 = 213,443.04 : x
  2. Step 2: Convert to fraction form
    358,535.92/494,774.16 = 213,443.04/x
  3. Step 3: Cross multiply
    358,535.92x = 494,774.16 × 213,443.04
  4. Step 4: Simplify right side
    358,535.92x = 105,606,100,823.85
  5. Step 5: Solve for x
    x = 105,606,100,823.85/358,535.92
  6. Step 6: Final answer
    x = 294,548.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.