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Finding the Fourth Proportional to 346,514.38, 478,184.70 and 193,554.70

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Solution

The fourth proportional to 346,514.38, 478,184.70 and 193,554.70 is: 267,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,514.38 : 478,184.70 = 193,554.70 : x
  2. Step 2: Convert to fraction form
    346,514.38/478,184.70 = 193,554.70/x
  3. Step 3: Cross multiply
    346,514.38x = 478,184.70 × 193,554.70
  4. Step 4: Simplify right side
    346,514.38x = 92,554,896,153.09
  5. Step 5: Solve for x
    x = 92,554,896,153.09/346,514.38
  6. Step 6: Final answer
    x = 267,102.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.