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Finding the Fourth Proportional to 509,584.56, 702,565.56 and 327,971.76

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Solution

The fourth proportional to 509,584.56, 702,565.56 and 327,971.76 is: 452,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,584.56 : 702,565.56 = 327,971.76 : x
  2. Step 2: Convert to fraction form
    509,584.56/702,565.56 = 327,971.76/x
  3. Step 3: Cross multiply
    509,584.56x = 702,565.56 × 327,971.76
  4. Step 4: Simplify right side
    509,584.56x = 230,421,663,228.59
  5. Step 5: Solve for x
    x = 230,421,663,228.59/509,584.56
  6. Step 6: Final answer
    x = 452,175.52

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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.