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Finding the Fourth Proportional to 341,731.76, 512,707.32 and 164,251.64

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Solution

The fourth proportional to 341,731.76, 512,707.32 and 164,251.64 is: 246,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,731.76 : 512,707.32 = 164,251.64 : x
  2. Step 2: Convert to fraction form
    341,731.76/512,707.32 = 164,251.64/x
  3. Step 3: Cross multiply
    341,731.76x = 512,707.32 × 164,251.64
  4. Step 4: Simplify right side
    341,731.76x = 84,213,018,150.00
  5. Step 5: Solve for x
    x = 84,213,018,150.00/341,731.76
  6. Step 6: Final answer
    x = 246,430.18

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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.