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Finding the Fourth Proportional to 646,460.04, 969,015.96 and 361,733.16

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Solution

The fourth proportional to 646,460.04, 969,015.96 and 361,733.16 is: 542,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,460.04 : 969,015.96 = 361,733.16 : x
  2. Step 2: Convert to fraction form
    646,460.04/969,015.96 = 361,733.16/x
  3. Step 3: Cross multiply
    646,460.04x = 969,015.96 × 361,733.16
  4. Step 4: Simplify right side
    646,460.04x = 350,525,205,301.23
  5. Step 5: Solve for x
    x = 350,525,205,301.23/646,460.04
  6. Step 6: Final answer
    x = 542,222.54

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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.