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Finding the Fourth Proportional to 496,626, 745,055.76 and 164,202

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Solution

The fourth proportional to 496,626, 745,055.76 and 164,202 is: 246,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,626 : 745,055.76 = 164,202 : x
  2. Step 2: Convert to fraction form
    496,626/745,055.76 = 164,202/x
  3. Step 3: Cross multiply
    496,626x = 745,055.76 × 164,202
  4. Step 4: Simplify right side
    496,626x = 122,339,645,903.52
  5. Step 5: Solve for x
    x = 122,339,645,903.52/496,626
  6. Step 6: Final answer
    x = 246,341.60

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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.