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Finding the Fourth Proportional to 476,480.46, 714,668.40 and 139,524.47

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Solution

The fourth proportional to 476,480.46, 714,668.40 and 139,524.47 is: 209,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,480.46 : 714,668.40 = 139,524.47 : x
  2. Step 2: Convert to fraction form
    476,480.46/714,668.40 = 139,524.47/x
  3. Step 3: Cross multiply
    476,480.46x = 714,668.40 × 139,524.47
  4. Step 4: Simplify right side
    476,480.46x = 99,713,726,162.41
  5. Step 5: Solve for x
    x = 99,713,726,162.41/476,480.46
  6. Step 6: Final answer
    x = 209,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.