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Finding the Fourth Proportional to 411,202.80, 616,415.40 and 242,852.40

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Solution

The fourth proportional to 411,202.80, 616,415.40 and 242,852.40 is: 364,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,202.80 : 616,415.40 = 242,852.40 : x
  2. Step 2: Convert to fraction form
    411,202.80/616,415.40 = 242,852.40/x
  3. Step 3: Cross multiply
    411,202.80x = 616,415.40 × 242,852.40
  4. Step 4: Simplify right side
    411,202.80x = 149,697,959,286.96
  5. Step 5: Solve for x
    x = 149,697,959,286.96/411,202.80
  6. Step 6: Final answer
    x = 364,048.98

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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.