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Finding the Fourth Proportional to 271,315.80, 406,973.70 and 176,837.40

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Solution

The fourth proportional to 271,315.80, 406,973.70 and 176,837.40 is: 265,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,315.80 : 406,973.70 = 176,837.40 : x
  2. Step 2: Convert to fraction form
    271,315.80/406,973.70 = 176,837.40/x
  3. Step 3: Cross multiply
    271,315.80x = 406,973.70 × 176,837.40
  4. Step 4: Simplify right side
    271,315.80x = 71,968,170,976.38
  5. Step 5: Solve for x
    x = 71,968,170,976.38/271,315.80
  6. Step 6: Final answer
    x = 265,256.10

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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.