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Finding the Fourth Proportional to 472,612.86, 708,711.93 and 176,917.50

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Solution

The fourth proportional to 472,612.86, 708,711.93 and 176,917.50 is: 265,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,612.86 : 708,711.93 = 176,917.50 : x
  2. Step 2: Convert to fraction form
    472,612.86/708,711.93 = 176,917.50/x
  3. Step 3: Cross multiply
    472,612.86x = 708,711.93 × 176,917.50
  4. Step 4: Simplify right side
    472,612.86x = 125,383,542,875.78
  5. Step 5: Solve for x
    x = 125,383,542,875.78/472,612.86
  6. Step 6: Final answer
    x = 265,298.63

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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.