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Finding the Fourth Proportional to 241,549.76, 360,698.06 and 197,264.36

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Solution

The fourth proportional to 241,549.76, 360,698.06 and 197,264.36 is: 294,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,549.76 : 360,698.06 = 197,264.36 : x
  2. Step 2: Convert to fraction form
    241,549.76/360,698.06 = 197,264.36/x
  3. Step 3: Cross multiply
    241,549.76x = 360,698.06 × 197,264.36
  4. Step 4: Simplify right side
    241,549.76x = 71,152,871,959.14
  5. Step 5: Solve for x
    x = 71,152,871,959.14/241,549.76
  6. Step 6: Final answer
    x = 294,568.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.