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Finding the Fourth Proportional to 407,951.92, 563,054.64 and 260,682.64

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Solution

The fourth proportional to 407,951.92, 563,054.64 and 260,682.64 is: 359,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,951.92 : 563,054.64 = 260,682.64 : x
  2. Step 2: Convert to fraction form
    407,951.92/563,054.64 = 260,682.64/x
  3. Step 3: Cross multiply
    407,951.92x = 563,054.64 × 260,682.64
  4. Step 4: Simplify right side
    407,951.92x = 146,778,570,019.45
  5. Step 5: Solve for x
    x = 146,778,570,019.45/407,951.92
  6. Step 6: Final answer
    x = 359,793.80

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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.