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Finding the Fourth Proportional to 461,536.28, 692,329.62 and 145,969.64

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Solution

The fourth proportional to 461,536.28, 692,329.62 and 145,969.64 is: 218,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,536.28 : 692,329.62 = 145,969.64 : x
  2. Step 2: Convert to fraction form
    461,536.28/692,329.62 = 145,969.64/x
  3. Step 3: Cross multiply
    461,536.28x = 692,329.62 × 145,969.64
  4. Step 4: Simplify right side
    461,536.28x = 101,059,105,392.74
  5. Step 5: Solve for x
    x = 101,059,105,392.74/461,536.28
  6. Step 6: Final answer
    x = 218,962.43

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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.