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Finding the Fourth Proportional to 277,904.16, 383,512.16 and 155,410.29

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Solution

The fourth proportional to 277,904.16, 383,512.16 and 155,410.29 is: 214,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,904.16 : 383,512.16 = 155,410.29 : x
  2. Step 2: Convert to fraction form
    277,904.16/383,512.16 = 155,410.29/x
  3. Step 3: Cross multiply
    277,904.16x = 383,512.16 × 155,410.29
  4. Step 4: Simplify right side
    277,904.16x = 59,601,736,392.65
  5. Step 5: Solve for x
    x = 59,601,736,392.65/277,904.16
  6. Step 6: Final answer
    x = 214,468.67

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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.