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Finding the Fourth Proportional to 471,058.07, 649,783.35 and 296,350.52

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Solution

The fourth proportional to 471,058.07, 649,783.35 and 296,350.52 is: 408,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,058.07 : 649,783.35 = 296,350.52 : x
  2. Step 2: Convert to fraction form
    471,058.07/649,783.35 = 296,350.52/x
  3. Step 3: Cross multiply
    471,058.07x = 649,783.35 × 296,350.52
  4. Step 4: Simplify right side
    471,058.07x = 192,563,630,410.93
  5. Step 5: Solve for x
    x = 192,563,630,410.93/471,058.07
  6. Step 6: Final answer
    x = 408,789.58

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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.