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Finding the Fourth Proportional to 277,835, 383,412.62 and 150,511.48

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Solution

The fourth proportional to 277,835, 383,412.62 and 150,511.48 is: 207,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,835 : 383,412.62 = 150,511.48 : x
  2. Step 2: Convert to fraction form
    277,835/383,412.62 = 150,511.48/x
  3. Step 3: Cross multiply
    277,835x = 383,412.62 × 150,511.48
  4. Step 4: Simplify right side
    277,835x = 57,708,000,886.88
  5. Step 5: Solve for x
    x = 57,708,000,886.88/277,835
  6. Step 6: Final answer
    x = 207,706.02

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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.