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Finding the Fourth Proportional to 401,176.32, 601,368.66 and 190,961.88

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Solution

The fourth proportional to 401,176.32, 601,368.66 and 190,961.88 is: 286,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,176.32 : 601,368.66 = 190,961.88 : x
  2. Step 2: Convert to fraction form
    401,176.32/601,368.66 = 190,961.88/x
  3. Step 3: Cross multiply
    401,176.32x = 601,368.66 × 190,961.88
  4. Step 4: Simplify right side
    401,176.32x = 114,838,489,886.68
  5. Step 5: Solve for x
    x = 114,838,489,886.68/401,176.32
  6. Step 6: Final answer
    x = 286,254.41

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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.