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Finding the Fourth Proportional to 416,971.05, 626,148.33 and 260,195.96

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Solution

The fourth proportional to 416,971.05, 626,148.33 and 260,195.96 is: 390,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.05 : 626,148.33 = 260,195.96 : x
  2. Step 2: Convert to fraction form
    416,971.05/626,148.33 = 260,195.96/x
  3. Step 3: Cross multiply
    416,971.05x = 626,148.33 × 260,195.96
  4. Step 4: Simplify right side
    416,971.05x = 162,921,262,696.01
  5. Step 5: Solve for x
    x = 162,921,262,696.01/416,971.05
  6. Step 6: Final answer
    x = 390,725.60

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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.