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Finding the Fourth Proportional to 297,632.07, 410,737.22 and 161,666.28

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Solution

The fourth proportional to 297,632.07, 410,737.22 and 161,666.28 is: 223,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,632.07 : 410,737.22 = 161,666.28 : x
  2. Step 2: Convert to fraction form
    297,632.07/410,737.22 = 161,666.28/x
  3. Step 3: Cross multiply
    297,632.07x = 410,737.22 × 161,666.28
  4. Step 4: Simplify right side
    297,632.07x = 66,402,358,414.94
  5. Step 5: Solve for x
    x = 66,402,358,414.94/297,632.07
  6. Step 6: Final answer
    x = 223,102.16

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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.