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Finding the Fourth Proportional to 433,661.40, 598,645.08 and 278,776.44

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Solution

The fourth proportional to 433,661.40, 598,645.08 and 278,776.44 is: 384,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,661.40 : 598,645.08 = 278,776.44 : x
  2. Step 2: Convert to fraction form
    433,661.40/598,645.08 = 278,776.44/x
  3. Step 3: Cross multiply
    433,661.40x = 598,645.08 × 278,776.44
  4. Step 4: Simplify right side
    433,661.40x = 166,888,144,225.92
  5. Step 5: Solve for x
    x = 166,888,144,225.92/433,661.40
  6. Step 6: Final answer
    x = 384,835.14

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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.