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Finding the Fourth Proportional to 277,575, 383,053.68 and 150,251.64

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Solution

The fourth proportional to 277,575, 383,053.68 and 150,251.64 is: 207,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,575 : 383,053.68 = 150,251.64 : x
  2. Step 2: Convert to fraction form
    277,575/383,053.68 = 150,251.64/x
  3. Step 3: Cross multiply
    277,575x = 383,053.68 × 150,251.64
  4. Step 4: Simplify right side
    277,575x = 57,554,443,628.04
  5. Step 5: Solve for x
    x = 57,554,443,628.04/277,575
  6. Step 6: Final answer
    x = 207,347.36

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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.