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Finding the Fourth Proportional to 277,871.44, 383,464.04 and 150,547.28

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Solution

The fourth proportional to 277,871.44, 383,464.04 and 150,547.28 is: 207,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,871.44 : 383,464.04 = 150,547.28 : x
  2. Step 2: Convert to fraction form
    277,871.44/383,464.04 = 150,547.28/x
  3. Step 3: Cross multiply
    277,871.44x = 383,464.04 × 150,547.28
  4. Step 4: Simplify right side
    277,871.44x = 57,729,468,199.81
  5. Step 5: Solve for x
    x = 57,729,468,199.81/277,871.44
  6. Step 6: Final answer
    x = 207,756.03

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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.