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Finding the Fourth Proportional to 397,712.36, 597,156.06 and 265,416.68

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Solution

The fourth proportional to 397,712.36, 597,156.06 and 265,416.68 is: 398,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.36 : 597,156.06 = 265,416.68 : x
  2. Step 2: Convert to fraction form
    397,712.36/597,156.06 = 265,416.68/x
  3. Step 3: Cross multiply
    397,712.36x = 597,156.06 × 265,416.68
  4. Step 4: Simplify right side
    397,712.36x = 158,495,178,887.08
  5. Step 5: Solve for x
    x = 158,495,178,887.08/397,712.36
  6. Step 6: Final answer
    x = 398,517.11

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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.