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Finding the Fourth Proportional to 335,046, 462,363.48 and 184,143

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Solution

The fourth proportional to 335,046, 462,363.48 and 184,143 is: 254,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,046 : 462,363.48 = 184,143 : x
  2. Step 2: Convert to fraction form
    335,046/462,363.48 = 184,143/x
  3. Step 3: Cross multiply
    335,046x = 462,363.48 × 184,143
  4. Step 4: Simplify right side
    335,046x = 85,140,998,297.64
  5. Step 5: Solve for x
    x = 85,140,998,297.64/335,046
  6. Step 6: Final answer
    x = 254,117.34

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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.