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Finding the Fourth Proportional to 470,699.96, 649,573.32 and 255,840.58

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Solution

The fourth proportional to 470,699.96, 649,573.32 and 255,840.58 is: 353,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,699.96 : 649,573.32 = 255,840.58 : x
  2. Step 2: Convert to fraction form
    470,699.96/649,573.32 = 255,840.58/x
  3. Step 3: Cross multiply
    470,699.96x = 649,573.32 × 255,840.58
  4. Step 4: Simplify right side
    470,699.96x = 166,187,213,058.84
  5. Step 5: Solve for x
    x = 166,187,213,058.84/470,699.96
  6. Step 6: Final answer
    x = 353,064.00

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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.