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Finding the Fourth Proportional to 471,838.17, 708,061.73 and 172,293.66

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Solution

The fourth proportional to 471,838.17, 708,061.73 and 172,293.66 is: 258,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838.17 : 708,061.73 = 172,293.66 : x
  2. Step 2: Convert to fraction form
    471,838.17/708,061.73 = 172,293.66/x
  3. Step 3: Cross multiply
    471,838.17x = 708,061.73 × 172,293.66
  4. Step 4: Simplify right side
    471,838.17x = 121,994,546,967.63
  5. Step 5: Solve for x
    x = 121,994,546,967.63/471,838.17
  6. Step 6: Final answer
    x = 258,551.67

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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.