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Finding the Fourth Proportional to 460,448.54, 690,720.82 and 176,138.54

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Solution

The fourth proportional to 460,448.54, 690,720.82 and 176,138.54 is: 264,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,448.54 : 690,720.82 = 176,138.54 : x
  2. Step 2: Convert to fraction form
    460,448.54/690,720.82 = 176,138.54/x
  3. Step 3: Cross multiply
    460,448.54x = 690,720.82 × 176,138.54
  4. Step 4: Simplify right side
    460,448.54x = 121,662,556,782.40
  5. Step 5: Solve for x
    x = 121,662,556,782.40/460,448.54
  6. Step 6: Final answer
    x = 264,226.18

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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.