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Finding the Fourth Proportional to 410,941.40, 616,412.10 and 115,453.40

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Solution

The fourth proportional to 410,941.40, 616,412.10 and 115,453.40 is: 173,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,941.40 : 616,412.10 = 115,453.40 : x
  2. Step 2: Convert to fraction form
    410,941.40/616,412.10 = 115,453.40/x
  3. Step 3: Cross multiply
    410,941.40x = 616,412.10 × 115,453.40
  4. Step 4: Simplify right side
    410,941.40x = 71,166,872,746.14
  5. Step 5: Solve for x
    x = 71,166,872,746.14/410,941.40
  6. Step 6: Final answer
    x = 173,180.10

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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.