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Finding the Fourth Proportional to 463,155.76, 695,065.44 and 197,103.16

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Solution

The fourth proportional to 463,155.76, 695,065.44 and 197,103.16 is: 295,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,155.76 : 695,065.44 = 197,103.16 : x
  2. Step 2: Convert to fraction form
    463,155.76/695,065.44 = 197,103.16/x
  3. Step 3: Cross multiply
    463,155.76x = 695,065.44 × 197,103.16
  4. Step 4: Simplify right side
    463,155.76x = 136,999,594,630.79
  5. Step 5: Solve for x
    x = 136,999,594,630.79/463,155.76
  6. Step 6: Final answer
    x = 295,795.94

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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.