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Finding the Fourth Proportional to 457,646.80, 686,599.80 and 142,135.60

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Solution

The fourth proportional to 457,646.80, 686,599.80 and 142,135.60 is: 213,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,646.80 : 686,599.80 = 142,135.60 : x
  2. Step 2: Convert to fraction form
    457,646.80/686,599.80 = 142,135.60/x
  3. Step 3: Cross multiply
    457,646.80x = 686,599.80 × 142,135.60
  4. Step 4: Simplify right side
    457,646.80x = 97,590,274,532.88
  5. Step 5: Solve for x
    x = 97,590,274,532.88/457,646.80
  6. Step 6: Final answer
    x = 213,243.65

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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.