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Finding the Fourth Proportional to 319,224.32, 478,977.54 and 167,385.14

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Solution

The fourth proportional to 319,224.32, 478,977.54 and 167,385.14 is: 251,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,224.32 : 478,977.54 = 167,385.14 : x
  2. Step 2: Convert to fraction form
    319,224.32/478,977.54 = 167,385.14/x
  3. Step 3: Cross multiply
    319,224.32x = 478,977.54 × 167,385.14
  4. Step 4: Simplify right side
    319,224.32x = 80,173,721,752.83
  5. Step 5: Solve for x
    x = 80,173,721,752.83/319,224.32
  6. Step 6: Final answer
    x = 251,151.67

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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.