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Finding the Fourth Proportional to 497,220, 745,946.64 and 164,796

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Solution

The fourth proportional to 497,220, 745,946.64 and 164,796 is: 247,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,220 : 745,946.64 = 164,796 : x
  2. Step 2: Convert to fraction form
    497,220/745,946.64 = 164,796/x
  3. Step 3: Cross multiply
    497,220x = 745,946.64 × 164,796
  4. Step 4: Simplify right side
    497,220x = 122,929,022,485.44
  5. Step 5: Solve for x
    x = 122,929,022,485.44/497,220
  6. Step 6: Final answer
    x = 247,232.66

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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.