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Finding the Fourth Proportional to 587,475, 810,717.66 and 319,203

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Solution

The fourth proportional to 587,475, 810,717.66 and 319,203 is: 440,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,475 : 810,717.66 = 319,203 : x
  2. Step 2: Convert to fraction form
    587,475/810,717.66 = 319,203/x
  3. Step 3: Cross multiply
    587,475x = 810,717.66 × 319,203
  4. Step 4: Simplify right side
    587,475x = 258,783,509,224.98
  5. Step 5: Solve for x
    x = 258,783,509,224.98/587,475
  6. Step 6: Final answer
    x = 440,501.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.