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Finding the Fourth Proportional to 294,945.25, 407,024.85 and 160,809.25

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Solution

The fourth proportional to 294,945.25, 407,024.85 and 160,809.25 is: 221,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,945.25 : 407,024.85 = 160,809.25 : x
  2. Step 2: Convert to fraction form
    294,945.25/407,024.85 = 160,809.25/x
  3. Step 3: Cross multiply
    294,945.25x = 407,024.85 × 160,809.25
  4. Step 4: Simplify right side
    294,945.25x = 65,453,360,859.86
  5. Step 5: Solve for x
    x = 65,453,360,859.86/294,945.25
  6. Step 6: Final answer
    x = 221,916.99

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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.