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Finding the Fourth Proportional to 470,752.83, 649,640.40 and 255,893.58

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Solution

The fourth proportional to 470,752.83, 649,640.40 and 255,893.58 is: 353,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,752.83 : 649,640.40 = 255,893.58 : x
  2. Step 2: Convert to fraction form
    470,752.83/649,640.40 = 255,893.58/x
  3. Step 3: Cross multiply
    470,752.83x = 649,640.40 × 255,893.58
  4. Step 4: Simplify right side
    470,752.83x = 166,238,807,668.63
  5. Step 5: Solve for x
    x = 166,238,807,668.63/470,752.83
  6. Step 6: Final answer
    x = 353,133.95

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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.