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Finding the Fourth Proportional to 470,051.76, 648,671.43 and 255,191.82

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Solution

The fourth proportional to 470,051.76, 648,671.43 and 255,191.82 is: 352,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,051.76 : 648,671.43 = 255,191.82 : x
  2. Step 2: Convert to fraction form
    470,051.76/648,671.43 = 255,191.82/x
  3. Step 3: Cross multiply
    470,051.76x = 648,671.43 × 255,191.82
  4. Step 4: Simplify right side
    470,051.76x = 165,535,645,884.57
  5. Step 5: Solve for x
    x = 165,535,645,884.57/470,051.76
  6. Step 6: Final answer
    x = 352,164.72

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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.