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Finding the Fourth Proportional to 294,661.50, 406,632.90 and 160,525.50

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Solution

The fourth proportional to 294,661.50, 406,632.90 and 160,525.50 is: 221,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,661.50 : 406,632.90 = 160,525.50 : x
  2. Step 2: Convert to fraction form
    294,661.50/406,632.90 = 160,525.50/x
  3. Step 3: Cross multiply
    294,661.50x = 406,632.90 × 160,525.50
  4. Step 4: Simplify right side
    294,661.50x = 65,274,949,588.95
  5. Step 5: Solve for x
    x = 65,274,949,588.95/294,661.50
  6. Step 6: Final answer
    x = 221,525.21

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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.