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Finding the Fourth Proportional to 504,208.72, 695,804.71 and 277,854.40

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Solution

The fourth proportional to 504,208.72, 695,804.71 and 277,854.40 is: 383,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,208.72 : 695,804.71 = 277,854.40 : x
  2. Step 2: Convert to fraction form
    504,208.72/695,804.71 = 277,854.40/x
  3. Step 3: Cross multiply
    504,208.72x = 695,804.71 × 277,854.40
  4. Step 4: Simplify right side
    504,208.72x = 193,332,396,040.56
  5. Step 5: Solve for x
    x = 193,332,396,040.56/504,208.72
  6. Step 6: Final answer
    x = 383,437.24

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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.