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Finding the Fourth Proportional to 299,708.85, 413,598.51 and 163,745.06

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Solution

The fourth proportional to 299,708.85, 413,598.51 and 163,745.06 is: 225,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,708.85 : 413,598.51 = 163,745.06 : x
  2. Step 2: Convert to fraction form
    299,708.85/413,598.51 = 163,745.06/x
  3. Step 3: Cross multiply
    299,708.85x = 413,598.51 × 163,745.06
  4. Step 4: Simplify right side
    299,708.85x = 67,724,710,767.87
  5. Step 5: Solve for x
    x = 67,724,710,767.87/299,708.85
  6. Step 6: Final answer
    x = 225,968.34

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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.