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Finding the Fourth Proportional to 380,356.25, 524,908.03 and 210,590.38

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Solution

The fourth proportional to 380,356.25, 524,908.03 and 210,590.38 is: 290,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.25 : 524,908.03 = 210,590.38 : x
  2. Step 2: Convert to fraction form
    380,356.25/524,908.03 = 210,590.38/x
  3. Step 3: Cross multiply
    380,356.25x = 524,908.03 × 210,590.38
  4. Step 4: Simplify right side
    380,356.25x = 110,540,578,878.21
  5. Step 5: Solve for x
    x = 110,540,578,878.21/380,356.25
  6. Step 6: Final answer
    x = 290,623.80

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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.