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Finding the Fourth Proportional to 371,042.16, 512,038.26 and 209,893.92

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Solution

The fourth proportional to 371,042.16, 512,038.26 and 209,893.92 is: 289,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,042.16 : 512,038.26 = 209,893.92 : x
  2. Step 2: Convert to fraction form
    371,042.16/512,038.26 = 209,893.92/x
  3. Step 3: Cross multiply
    371,042.16x = 512,038.26 × 209,893.92
  4. Step 4: Simplify right side
    371,042.16x = 107,473,717,581.38
  5. Step 5: Solve for x
    x = 107,473,717,581.38/371,042.16
  6. Step 6: Final answer
    x = 289,653.65

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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.