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Finding the Fourth Proportional to 470,073.81, 648,703.17 and 255,214.83

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Solution

The fourth proportional to 470,073.81, 648,703.17 and 255,214.83 is: 352,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,073.81 : 648,703.17 = 255,214.83 : x
  2. Step 2: Convert to fraction form
    470,073.81/648,703.17 = 255,214.83/x
  3. Step 3: Cross multiply
    470,073.81x = 648,703.17 × 255,214.83
  4. Step 4: Simplify right side
    470,073.81x = 165,558,669,252.01
  5. Step 5: Solve for x
    x = 165,558,669,252.01/470,073.81
  6. Step 6: Final answer
    x = 352,197.18

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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.