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Finding the Fourth Proportional to 470,627.54, 649,471.01 and 255,767.60

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Solution

The fourth proportional to 470,627.54, 649,471.01 and 255,767.60 is: 352,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,627.54 : 649,471.01 = 255,767.60 : x
  2. Step 2: Convert to fraction form
    470,627.54/649,471.01 = 255,767.60/x
  3. Step 3: Cross multiply
    470,627.54x = 649,471.01 × 255,767.60
  4. Step 4: Simplify right side
    470,627.54x = 166,113,636,971.08
  5. Step 5: Solve for x
    x = 166,113,636,971.08/470,627.54
  6. Step 6: Final answer
    x = 352,962.00

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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.