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Finding the Fourth Proportional to 446,913.77, 616,753.18 and 242,978.42

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Solution

The fourth proportional to 446,913.77, 616,753.18 and 242,978.42 is: 335,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,913.77 : 616,753.18 = 242,978.42 : x
  2. Step 2: Convert to fraction form
    446,913.77/616,753.18 = 242,978.42/x
  3. Step 3: Cross multiply
    446,913.77x = 616,753.18 × 242,978.42
  4. Step 4: Simplify right side
    446,913.77x = 149,857,713,206.38
  5. Step 5: Solve for x
    x = 149,857,713,206.38/446,913.77
  6. Step 6: Final answer
    x = 335,316.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.