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Finding the Fourth Proportional to 277,903.71, 383,514.23 and 170,533.08

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Solution

The fourth proportional to 277,903.71, 383,514.23 and 170,533.08 is: 235,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,903.71 : 383,514.23 = 170,533.08 : x
  2. Step 2: Convert to fraction form
    277,903.71/383,514.23 = 170,533.08/x
  3. Step 3: Cross multiply
    277,903.71x = 383,514.23 × 170,533.08
  4. Step 4: Simplify right side
    277,903.71x = 65,401,862,013.06
  5. Step 5: Solve for x
    x = 65,401,862,013.06/277,903.71
  6. Step 6: Final answer
    x = 235,340.01

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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.