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Finding the Fourth Proportional to 493,002.81, 739,585.98 and 173,071.65

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Solution

The fourth proportional to 493,002.81, 739,585.98 and 173,071.65 is: 259,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,002.81 : 739,585.98 = 173,071.65 : x
  2. Step 2: Convert to fraction form
    493,002.81/739,585.98 = 173,071.65/x
  3. Step 3: Cross multiply
    493,002.81x = 739,585.98 × 173,071.65
  4. Step 4: Simplify right side
    493,002.81x = 128,001,363,102.02
  5. Step 5: Solve for x
    x = 128,001,363,102.02/493,002.81
  6. Step 6: Final answer
    x = 259,636.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.