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Finding the Fourth Proportional to 397,714.40, 596,168.40 and 197,727.20

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Solution

The fourth proportional to 397,714.40, 596,168.40 and 197,727.20 is: 296,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,714.40 : 596,168.40 = 197,727.20 : x
  2. Step 2: Convert to fraction form
    397,714.40/596,168.40 = 197,727.20/x
  3. Step 3: Cross multiply
    397,714.40x = 596,168.40 × 197,727.20
  4. Step 4: Simplify right side
    397,714.40x = 117,878,708,460.48
  5. Step 5: Solve for x
    x = 117,878,708,460.48/397,714.40
  6. Step 6: Final answer
    x = 296,390.35

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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.