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Finding the Fourth Proportional to 329,482.46, 454,680.86 and 186,237.48

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Solution

The fourth proportional to 329,482.46, 454,680.86 and 186,237.48 is: 257,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482.46 : 454,680.86 = 186,237.48 : x
  2. Step 2: Convert to fraction form
    329,482.46/454,680.86 = 186,237.48/x
  3. Step 3: Cross multiply
    329,482.46x = 454,680.86 × 186,237.48
  4. Step 4: Simplify right side
    329,482.46x = 84,678,617,570.63
  5. Step 5: Solve for x
    x = 84,678,617,570.63/329,482.46
  6. Step 6: Final answer
    x = 257,004.93

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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.