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Finding the Fourth Proportional to 294,928.24, 407,006.76 and 160,792.24

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Solution

The fourth proportional to 294,928.24, 407,006.76 and 160,792.24 is: 221,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,928.24 : 407,006.76 = 160,792.24 : x
  2. Step 2: Convert to fraction form
    294,928.24/407,006.76 = 160,792.24/x
  3. Step 3: Cross multiply
    294,928.24x = 407,006.76 × 160,792.24
  4. Step 4: Simplify right side
    294,928.24x = 65,443,528,635.54
  5. Step 5: Solve for x
    x = 65,443,528,635.54/294,928.24
  6. Step 6: Final answer
    x = 221,896.45

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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.