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Finding the Fourth Proportional to 385,307.60, 577,961.40 and 136,014.80

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Solution

The fourth proportional to 385,307.60, 577,961.40 and 136,014.80 is: 204,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,307.60 : 577,961.40 = 136,014.80 : x
  2. Step 2: Convert to fraction form
    385,307.60/577,961.40 = 136,014.80/x
  3. Step 3: Cross multiply
    385,307.60x = 577,961.40 × 136,014.80
  4. Step 4: Simplify right side
    385,307.60x = 78,611,304,228.72
  5. Step 5: Solve for x
    x = 78,611,304,228.72/385,307.60
  6. Step 6: Final answer
    x = 204,022.20

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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.