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Finding the Fourth Proportional to 470,056.60, 648,678.54 and 255,196.54

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Solution

The fourth proportional to 470,056.60, 648,678.54 and 255,196.54 is: 352,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,056.60 : 648,678.54 = 255,196.54 : x
  2. Step 2: Convert to fraction form
    470,056.60/648,678.54 = 255,196.54/x
  3. Step 3: Cross multiply
    470,056.60x = 648,678.54 × 255,196.54
  4. Step 4: Simplify right side
    470,056.60x = 165,540,518,980.25
  5. Step 5: Solve for x
    x = 165,540,518,980.25/470,056.60
  6. Step 6: Final answer
    x = 352,171.46

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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.