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Finding the Fourth Proportional to 380,488.32, 525,067.44 and 210,718.80

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Solution

The fourth proportional to 380,488.32, 525,067.44 and 210,718.80 is: 290,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,488.32 : 525,067.44 = 210,718.80 : x
  2. Step 2: Convert to fraction form
    380,488.32/525,067.44 = 210,718.80/x
  3. Step 3: Cross multiply
    380,488.32x = 525,067.44 × 210,718.80
  4. Step 4: Simplify right side
    380,488.32x = 110,641,580,875.87
  5. Step 5: Solve for x
    x = 110,641,580,875.87/380,488.32
  6. Step 6: Final answer
    x = 290,788.38

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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.