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Finding the Fourth Proportional to 277,782.88, 383,347.92 and 170,412.16

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Solution

The fourth proportional to 277,782.88, 383,347.92 and 170,412.16 is: 235,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,782.88 : 383,347.92 = 170,412.16 : x
  2. Step 2: Convert to fraction form
    277,782.88/383,347.92 = 170,412.16/x
  3. Step 3: Cross multiply
    277,782.88x = 383,347.92 × 170,412.16
  4. Step 4: Simplify right side
    277,782.88x = 65,327,147,078.71
  5. Step 5: Solve for x
    x = 65,327,147,078.71/277,782.88
  6. Step 6: Final answer
    x = 235,173.41

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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.