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Finding the Fourth Proportional to 463,562.61, 695,636.43 and 197,322.69

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Solution

The fourth proportional to 463,562.61, 695,636.43 and 197,322.69 is: 296,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,562.61 : 695,636.43 = 197,322.69 : x
  2. Step 2: Convert to fraction form
    463,562.61/695,636.43 = 197,322.69/x
  3. Step 3: Cross multiply
    463,562.61x = 695,636.43 × 197,322.69
  4. Step 4: Simplify right side
    463,562.61x = 137,264,851,629.60
  5. Step 5: Solve for x
    x = 137,264,851,629.60/463,562.61
  6. Step 6: Final answer
    x = 296,108.55

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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.