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Finding the Fourth Proportional to 460,622.40, 689,767.20 and 341,649.60

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Solution

The fourth proportional to 460,622.40, 689,767.20 and 341,649.60 is: 511,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,622.40 : 689,767.20 = 341,649.60 : x
  2. Step 2: Convert to fraction form
    460,622.40/689,767.20 = 341,649.60/x
  3. Step 3: Cross multiply
    460,622.40x = 689,767.20 × 341,649.60
  4. Step 4: Simplify right side
    460,622.40x = 235,658,687,973.12
  5. Step 5: Solve for x
    x = 235,658,687,973.12/460,622.40
  6. Step 6: Final answer
    x = 511,609.27

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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.