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Finding the Fourth Proportional to 413,951.04, 620,407.16 and 177,015.12

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Solution

The fourth proportional to 413,951.04, 620,407.16 and 177,015.12 is: 265,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,951.04 : 620,407.16 = 177,015.12 : x
  2. Step 2: Convert to fraction form
    413,951.04/620,407.16 = 177,015.12/x
  3. Step 3: Cross multiply
    413,951.04x = 620,407.16 × 177,015.12
  4. Step 4: Simplify right side
    413,951.04x = 109,821,447,876.26
  5. Step 5: Solve for x
    x = 109,821,447,876.26/413,951.04
  6. Step 6: Final answer
    x = 265,300.57

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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.