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Finding the Fourth Proportional to 463,397.60, 695,355.60 and 197,112.80

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Solution

The fourth proportional to 463,397.60, 695,355.60 and 197,112.80 is: 295,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,397.60 : 695,355.60 = 197,112.80 : x
  2. Step 2: Convert to fraction form
    463,397.60/695,355.60 = 197,112.80/x
  3. Step 3: Cross multiply
    463,397.60x = 695,355.60 × 197,112.80
  4. Step 4: Simplify right side
    463,397.60x = 137,063,489,311.68
  5. Step 5: Solve for x
    x = 137,063,489,311.68/463,397.60
  6. Step 6: Final answer
    x = 295,779.45

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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.