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Finding the Fourth Proportional to 375,101.04, 517,653.72 and 213,982.32

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Solution

The fourth proportional to 375,101.04, 517,653.72 and 213,982.32 is: 295,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,101.04 : 517,653.72 = 213,982.32 : x
  2. Step 2: Convert to fraction form
    375,101.04/517,653.72 = 213,982.32/x
  3. Step 3: Cross multiply
    375,101.04x = 517,653.72 × 213,982.32
  4. Step 4: Simplify right side
    375,101.04x = 110,768,743,962.23
  5. Step 5: Solve for x
    x = 110,768,743,962.23/375,101.04
  6. Step 6: Final answer
    x = 295,303.75

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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.