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Finding the Fourth Proportional to 476,414.80, 714,007.80 and 365,054.80

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Solution

The fourth proportional to 476,414.80, 714,007.80 and 365,054.80 is: 547,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,414.80 : 714,007.80 = 365,054.80 : x
  2. Step 2: Convert to fraction form
    476,414.80/714,007.80 = 365,054.80/x
  3. Step 3: Cross multiply
    476,414.80x = 714,007.80 × 365,054.80
  4. Step 4: Simplify right side
    476,414.80x = 260,651,974,627.44
  5. Step 5: Solve for x
    x = 260,651,974,627.44/476,414.80
  6. Step 6: Final answer
    x = 547,111.41

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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.