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Finding the Fourth Proportional to 461,025.60, 691,635.60 and 145,514.40

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Solution

The fourth proportional to 461,025.60, 691,635.60 and 145,514.40 is: 218,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,025.60 : 691,635.60 = 145,514.40 : x
  2. Step 2: Convert to fraction form
    461,025.60/691,635.60 = 145,514.40/x
  3. Step 3: Cross multiply
    461,025.60x = 691,635.60 × 145,514.40
  4. Step 4: Simplify right side
    461,025.60x = 100,642,939,352.64
  5. Step 5: Solve for x
    x = 100,642,939,352.64/461,025.60
  6. Step 6: Final answer
    x = 218,302.28

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1.5x scale

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.