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Finding the Fourth Proportional to 505,270.86, 697,391.02 and 333,219.88

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Solution

The fourth proportional to 505,270.86, 697,391.02 and 333,219.88 is: 459,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,270.86 : 697,391.02 = 333,219.88 : x
  2. Step 2: Convert to fraction form
    505,270.86/697,391.02 = 333,219.88/x
  3. Step 3: Cross multiply
    505,270.86x = 697,391.02 × 333,219.88
  4. Step 4: Simplify right side
    505,270.86x = 232,384,547,488.56
  5. Step 5: Solve for x
    x = 232,384,547,488.56/505,270.86
  6. Step 6: Final answer
    x = 459,920.74

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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.