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Finding the Fourth Proportional to 470,533.89, 649,335.43 and 255,673.90

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Solution

The fourth proportional to 470,533.89, 649,335.43 and 255,673.90 is: 352,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,533.89 : 649,335.43 = 255,673.90 : x
  2. Step 2: Convert to fraction form
    470,533.89/649,335.43 = 255,673.90/x
  3. Step 3: Cross multiply
    470,533.89x = 649,335.43 × 255,673.90
  4. Step 4: Simplify right side
    470,533.89x = 166,018,121,796.28
  5. Step 5: Solve for x
    x = 166,018,121,796.28/470,533.89
  6. Step 6: Final answer
    x = 352,829.25

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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.