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Finding the Fourth Proportional to 314,712.68, 472,208.54 and 164,917.35

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Solution

The fourth proportional to 314,712.68, 472,208.54 and 164,917.35 is: 247,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.68 : 472,208.54 = 164,917.35 : x
  2. Step 2: Convert to fraction form
    314,712.68/472,208.54 = 164,917.35/x
  3. Step 3: Cross multiply
    314,712.68x = 472,208.54 × 164,917.35
  4. Step 4: Simplify right side
    314,712.68x = 77,875,380,239.58
  5. Step 5: Solve for x
    x = 77,875,380,239.58/314,712.68
  6. Step 6: Final answer
    x = 247,449.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.