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Finding the Fourth Proportional to 359,048.24, 495,457.44 and 208,154.96

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Solution

The fourth proportional to 359,048.24, 495,457.44 and 208,154.96 is: 287,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,048.24 : 495,457.44 = 208,154.96 : x
  2. Step 2: Convert to fraction form
    359,048.24/495,457.44 = 208,154.96/x
  3. Step 3: Cross multiply
    359,048.24x = 495,457.44 × 208,154.96
  4. Step 4: Simplify right side
    359,048.24x = 103,131,923,604.90
  5. Step 5: Solve for x
    x = 103,131,923,604.90/359,048.24
  6. Step 6: Final answer
    x = 287,236.96

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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.