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Finding the Fourth Proportional to 311,957.80, 430,554.70 and 176,030.29

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Solution

The fourth proportional to 311,957.80, 430,554.70 and 176,030.29 is: 242,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,957.80 : 430,554.70 = 176,030.29 : x
  2. Step 2: Convert to fraction form
    311,957.80/430,554.70 = 176,030.29/x
  3. Step 3: Cross multiply
    311,957.80x = 430,554.70 × 176,030.29
  4. Step 4: Simplify right side
    311,957.80x = 75,790,668,701.86
  5. Step 5: Solve for x
    x = 75,790,668,701.86/311,957.80
  6. Step 6: Final answer
    x = 242,951.67

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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.