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Finding the Fourth Proportional to 467,074, 644,564.68 and 255,106

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Solution

The fourth proportional to 467,074, 644,564.68 and 255,106 is: 352,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,074 : 644,564.68 = 255,106 : x
  2. Step 2: Convert to fraction form
    467,074/644,564.68 = 255,106/x
  3. Step 3: Cross multiply
    467,074x = 644,564.68 × 255,106
  4. Step 4: Simplify right side
    467,074x = 164,432,317,256.08
  5. Step 5: Solve for x
    x = 164,432,317,256.08/467,074
  6. Step 6: Final answer
    x = 352,047.68

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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.