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Finding the Fourth Proportional to 417,388.96, 575,095.44 and 283,019.68

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Solution

The fourth proportional to 417,388.96, 575,095.44 and 283,019.68 is: 389,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,388.96 : 575,095.44 = 283,019.68 : x
  2. Step 2: Convert to fraction form
    417,388.96/575,095.44 = 283,019.68/x
  3. Step 3: Cross multiply
    417,388.96x = 575,095.44 × 283,019.68
  4. Step 4: Simplify right side
    417,388.96x = 162,763,327,398.26
  5. Step 5: Solve for x
    x = 162,763,327,398.26/417,388.96
  6. Step 6: Final answer
    x = 389,956.00

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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.