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Finding the Fourth Proportional to 496,964, 745,562.64 and 164,540

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Solution

The fourth proportional to 496,964, 745,562.64 and 164,540 is: 246,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,964 : 745,562.64 = 164,540 : x
  2. Step 2: Convert to fraction form
    496,964/745,562.64 = 164,540/x
  3. Step 3: Cross multiply
    496,964x = 745,562.64 × 164,540
  4. Step 4: Simplify right side
    496,964x = 122,674,876,785.60
  5. Step 5: Solve for x
    x = 122,674,876,785.60/496,964
  6. Step 6: Final answer
    x = 246,848.62

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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.