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Finding the Fourth Proportional to 329,534.46, 454,752.63 and 186,289.47

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Solution

The fourth proportional to 329,534.46, 454,752.63 and 186,289.47 is: 257,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,534.46 : 454,752.63 = 186,289.47 : x
  2. Step 2: Convert to fraction form
    329,534.46/454,752.63 = 186,289.47/x
  3. Step 3: Cross multiply
    329,534.46x = 454,752.63 × 186,289.47
  4. Step 4: Simplify right side
    329,534.46x = 84,715,626,423.81
  5. Step 5: Solve for x
    x = 84,715,626,423.81/329,534.46
  6. Step 6: Final answer
    x = 257,076.68

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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.