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Finding the Fourth Proportional to 311,603.92, 430,101.50 and 184,323.76

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Solution

The fourth proportional to 311,603.92, 430,101.50 and 184,323.76 is: 254,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,603.92 : 430,101.50 = 184,323.76 : x
  2. Step 2: Convert to fraction form
    311,603.92/430,101.50 = 184,323.76/x
  3. Step 3: Cross multiply
    311,603.92x = 430,101.50 × 184,323.76
  4. Step 4: Simplify right side
    311,603.92x = 79,277,925,661.64
  5. Step 5: Solve for x
    x = 79,277,925,661.64/311,603.92
  6. Step 6: Final answer
    x = 254,418.90

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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.