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Finding the Fourth Proportional to 340,473.24, 509,465.70 and 200,297.88

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Solution

The fourth proportional to 340,473.24, 509,465.70 and 200,297.88 is: 299,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,473.24 : 509,465.70 = 200,297.88 : x
  2. Step 2: Convert to fraction form
    340,473.24/509,465.70 = 200,297.88/x
  3. Step 3: Cross multiply
    340,473.24x = 509,465.70 × 200,297.88
  4. Step 4: Simplify right side
    340,473.24x = 102,044,899,642.72
  5. Step 5: Solve for x
    x = 102,044,899,642.72/340,473.24
  6. Step 6: Final answer
    x = 299,714.89

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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.