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Finding the Fourth Proportional to 295,824, 443,736 and 98,832

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Solution

The fourth proportional to 295,824, 443,736 and 98,832 is: 148,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,824 : 443,736 = 98,832 : x
  2. Step 2: Convert to fraction form
    295,824/443,736 = 98,832/x
  3. Step 3: Cross multiply
    295,824x = 443,736 × 98,832
  4. Step 4: Simplify right side
    295,824x = 43,855,316,352
  5. Step 5: Solve for x
    x = 43,855,316,352/295,824
  6. Step 6: Final answer
    x = 148,248

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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.