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Finding the Fourth Proportional to 470,569.76, 649,384.76 and 255,710.48

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Solution

The fourth proportional to 470,569.76, 649,384.76 and 255,710.48 is: 352,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,569.76 : 649,384.76 = 255,710.48 : x
  2. Step 2: Convert to fraction form
    470,569.76/649,384.76 = 255,710.48/x
  3. Step 3: Cross multiply
    470,569.76x = 649,384.76 × 255,710.48
  4. Step 4: Simplify right side
    470,569.76x = 166,054,488,684.29
  5. Step 5: Solve for x
    x = 166,054,488,684.29/470,569.76
  6. Step 6: Final answer
    x = 352,879.64

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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.