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Finding the Fourth Proportional to 277,510.58, 382,964.60 and 150,186.14

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Solution

The fourth proportional to 277,510.58, 382,964.60 and 150,186.14 is: 207,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.58 : 382,964.60 = 150,186.14 : x
  2. Step 2: Convert to fraction form
    277,510.58/382,964.60 = 150,186.14/x
  3. Step 3: Cross multiply
    277,510.58x = 382,964.60 × 150,186.14
  4. Step 4: Simplify right side
    277,510.58x = 57,515,975,030.64
  5. Step 5: Solve for x
    x = 57,515,975,030.64/277,510.58
  6. Step 6: Final answer
    x = 207,256.87

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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.