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Finding the Fourth Proportional to 470,328.88, 649,054.08 and 255,472.48

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Solution

The fourth proportional to 470,328.88, 649,054.08 and 255,472.48 is: 352,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,328.88 : 649,054.08 = 255,472.48 : x
  2. Step 2: Convert to fraction form
    470,328.88/649,054.08 = 255,472.48/x
  3. Step 3: Cross multiply
    470,328.88x = 649,054.08 × 255,472.48
  4. Step 4: Simplify right side
    470,328.88x = 165,815,455,471.72
  5. Step 5: Solve for x
    x = 165,815,455,471.72/470,328.88
  6. Step 6: Final answer
    x = 352,552.14

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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.