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Finding the Fourth Proportional to 472,476.76, 708,313.74 and 219,903.92

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Solution

The fourth proportional to 472,476.76, 708,313.74 and 219,903.92 is: 329,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,476.76 : 708,313.74 = 219,903.92 : x
  2. Step 2: Convert to fraction form
    472,476.76/708,313.74 = 219,903.92/x
  3. Step 3: Cross multiply
    472,476.76x = 708,313.74 × 219,903.92
  4. Step 4: Simplify right side
    472,476.76x = 155,760,968,015.86
  5. Step 5: Solve for x
    x = 155,760,968,015.86/472,476.76
  6. Step 6: Final answer
    x = 329,669.06

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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.