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Finding the Fourth Proportional to 470,169.52, 648,831.60 and 255,307.68

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Solution

The fourth proportional to 470,169.52, 648,831.60 and 255,307.68 is: 352,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,169.52 : 648,831.60 = 255,307.68 : x
  2. Step 2: Convert to fraction form
    470,169.52/648,831.60 = 255,307.68/x
  3. Step 3: Cross multiply
    470,169.52x = 648,831.60 × 255,307.68
  4. Step 4: Simplify right side
    470,169.52x = 165,651,690,506.69
  5. Step 5: Solve for x
    x = 165,651,690,506.69/470,169.52
  6. Step 6: Final answer
    x = 352,323.33

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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.