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Finding the Fourth Proportional to 470,055.60, 648,677.16 and 255,195.54

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Solution

The fourth proportional to 470,055.60, 648,677.16 and 255,195.54 is: 352,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,055.60 : 648,677.16 = 255,195.54 : x
  2. Step 2: Convert to fraction form
    470,055.60/648,677.16 = 255,195.54/x
  3. Step 3: Cross multiply
    470,055.60x = 648,677.16 × 255,195.54
  4. Step 4: Simplify right side
    470,055.60x = 165,539,518,131.87
  5. Step 5: Solve for x
    x = 165,539,518,131.87/470,055.60
  6. Step 6: Final answer
    x = 352,170.08

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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.