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Finding the Fourth Proportional to 447,735.66, 617,675.58 and 302,494.74

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Solution

The fourth proportional to 447,735.66, 617,675.58 and 302,494.74 is: 417,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,735.66 : 617,675.58 = 302,494.74 : x
  2. Step 2: Convert to fraction form
    447,735.66/617,675.58 = 302,494.74/x
  3. Step 3: Cross multiply
    447,735.66x = 617,675.58 × 302,494.74
  4. Step 4: Simplify right side
    447,735.66x = 186,843,613,976.45
  5. Step 5: Solve for x
    x = 186,843,613,976.45/447,735.66
  6. Step 6: Final answer
    x = 417,307.87

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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.