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Finding the Fourth Proportional to 341,569.90, 512,354.85 and 164,034.10

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Solution

The fourth proportional to 341,569.90, 512,354.85 and 164,034.10 is: 246,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,569.90 : 512,354.85 = 164,034.10 : x
  2. Step 2: Convert to fraction form
    341,569.90/512,354.85 = 164,034.10/x
  3. Step 3: Cross multiply
    341,569.90x = 512,354.85 × 164,034.10
  4. Step 4: Simplify right side
    341,569.90x = 84,043,666,700.39
  5. Step 5: Solve for x
    x = 84,043,666,700.39/341,569.90
  6. Step 6: Final answer
    x = 246,051.15

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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.