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Finding the Fourth Proportional to 341,713.10, 512,569.65 and 164,566.10

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Solution

The fourth proportional to 341,713.10, 512,569.65 and 164,566.10 is: 246,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,713.10 : 512,569.65 = 164,566.10 : x
  2. Step 2: Convert to fraction form
    341,713.10/512,569.65 = 164,566.10/x
  3. Step 3: Cross multiply
    341,713.10x = 512,569.65 × 164,566.10
  4. Step 4: Simplify right side
    341,713.10x = 84,351,588,278.87
  5. Step 5: Solve for x
    x = 84,351,588,278.87/341,713.10
  6. Step 6: Final answer
    x = 246,849.15

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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.