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Finding the Fourth Proportional to 343,397.60, 515,096.40 and 153,857.60

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Solution

The fourth proportional to 343,397.60, 515,096.40 and 153,857.60 is: 230,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,397.60 : 515,096.40 = 153,857.60 : x
  2. Step 2: Convert to fraction form
    343,397.60/515,096.40 = 153,857.60/x
  3. Step 3: Cross multiply
    343,397.60x = 515,096.40 × 153,857.60
  4. Step 4: Simplify right side
    343,397.60x = 79,251,495,872.64
  5. Step 5: Solve for x
    x = 79,251,495,872.64/343,397.60
  6. Step 6: Final answer
    x = 230,786.40

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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.