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Finding the Fourth Proportional to 476,235.04, 714,461.52 and 206,408.32

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Solution

The fourth proportional to 476,235.04, 714,461.52 and 206,408.32 is: 309,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,235.04 : 714,461.52 = 206,408.32 : x
  2. Step 2: Convert to fraction form
    476,235.04/714,461.52 = 206,408.32/x
  3. Step 3: Cross multiply
    476,235.04x = 714,461.52 × 206,408.32
  4. Step 4: Simplify right side
    476,235.04x = 147,470,802,047.85
  5. Step 5: Solve for x
    x = 147,470,802,047.85/476,235.04
  6. Step 6: Final answer
    x = 309,659.71

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1.5x scale

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.