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Finding the Fourth Proportional to 401,543.10, 601,856.73 and 190,882.62

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Solution

The fourth proportional to 401,543.10, 601,856.73 and 190,882.62 is: 286,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,543.10 : 601,856.73 = 190,882.62 : x
  2. Step 2: Convert to fraction form
    401,543.10/601,856.73 = 190,882.62/x
  3. Step 3: Cross multiply
    401,543.10x = 601,856.73 × 190,882.62
  4. Step 4: Simplify right side
    401,543.10x = 114,883,989,487.03
  5. Step 5: Solve for x
    x = 114,883,989,487.03/401,543.10
  6. Step 6: Final answer
    x = 286,106.25

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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.