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Finding the Fourth Proportional to 375,105.40, 562,245.30 and 185,284.74

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Solution

The fourth proportional to 375,105.40, 562,245.30 and 185,284.74 is: 277,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,105.40 : 562,245.30 = 185,284.74 : x
  2. Step 2: Convert to fraction form
    375,105.40/562,245.30 = 185,284.74/x
  3. Step 3: Cross multiply
    375,105.40x = 562,245.30 × 185,284.74
  4. Step 4: Simplify right side
    375,105.40x = 104,175,473,300.30
  5. Step 5: Solve for x
    x = 104,175,473,300.30/375,105.40
  6. Step 6: Final answer
    x = 277,723.20

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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.