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Finding the Fourth Proportional to 341,513.32, 512,630.70 and 191,881.48

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Solution

The fourth proportional to 341,513.32, 512,630.70 and 191,881.48 is: 288,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,513.32 : 512,630.70 = 191,881.48 : x
  2. Step 2: Convert to fraction form
    341,513.32/512,630.70 = 191,881.48/x
  3. Step 3: Cross multiply
    341,513.32x = 512,630.70 × 191,881.48
  4. Step 4: Simplify right side
    341,513.32x = 98,364,337,409.44
  5. Step 5: Solve for x
    x = 98,364,337,409.44/341,513.32
  6. Step 6: Final answer
    x = 288,024.89

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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.