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Finding the Fourth Proportional to 411,133.80, 616,311.90 and 242,783.40

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Solution

The fourth proportional to 411,133.80, 616,311.90 and 242,783.40 is: 363,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,133.80 : 616,311.90 = 242,783.40 : x
  2. Step 2: Convert to fraction form
    411,133.80/616,311.90 = 242,783.40/x
  3. Step 3: Cross multiply
    411,133.80x = 616,311.90 × 242,783.40
  4. Step 4: Simplify right side
    411,133.80x = 149,630,298,542.46
  5. Step 5: Solve for x
    x = 149,630,298,542.46/411,133.80
  6. Step 6: Final answer
    x = 363,945.51

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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.