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Finding the Fourth Proportional to 361,492.80, 498,860.10 and 200,358.24

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Solution

The fourth proportional to 361,492.80, 498,860.10 and 200,358.24 is: 276,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,492.80 : 498,860.10 = 200,358.24 : x
  2. Step 2: Convert to fraction form
    361,492.80/498,860.10 = 200,358.24/x
  3. Step 3: Cross multiply
    361,492.80x = 498,860.10 × 200,358.24
  4. Step 4: Simplify right side
    361,492.80x = 99,950,731,642.22
  5. Step 5: Solve for x
    x = 99,950,731,642.22/361,492.80
  6. Step 6: Final answer
    x = 276,494.39

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1.5x scale

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.