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Finding the Fourth Proportional to 513,857.36, 709,124.54 and 284,430.44

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Solution

The fourth proportional to 513,857.36, 709,124.54 and 284,430.44 is: 392,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,857.36 : 709,124.54 = 284,430.44 : x
  2. Step 2: Convert to fraction form
    513,857.36/709,124.54 = 284,430.44/x
  3. Step 3: Cross multiply
    513,857.36x = 709,124.54 × 284,430.44
  4. Step 4: Simplify right side
    513,857.36x = 201,696,599,959.22
  5. Step 5: Solve for x
    x = 201,696,599,959.22/513,857.36
  6. Step 6: Final answer
    x = 392,514.77

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