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Finding the Fourth Proportional to 517,098.69, 713,587.59 and 287,653.23

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Solution

The fourth proportional to 517,098.69, 713,587.59 and 287,653.23 is: 396,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,098.69 : 713,587.59 = 287,653.23 : x
  2. Step 2: Convert to fraction form
    517,098.69/713,587.59 = 287,653.23/x
  3. Step 3: Cross multiply
    517,098.69x = 713,587.59 × 287,653.23
  4. Step 4: Simplify right side
    517,098.69x = 205,265,775,151.42
  5. Step 5: Solve for x
    x = 205,265,775,151.42/517,098.69
  6. Step 6: Final answer
    x = 396,956.67

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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.