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Finding the Fourth Proportional to 510,573.60, 704,572.56 and 284,214.24

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Solution

The fourth proportional to 510,573.60, 704,572.56 and 284,214.24 is: 392,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,573.60 : 704,572.56 = 284,214.24 : x
  2. Step 2: Convert to fraction form
    510,573.60/704,572.56 = 284,214.24/x
  3. Step 3: Cross multiply
    510,573.60x = 704,572.56 × 284,214.24
  4. Step 4: Simplify right side
    510,573.60x = 200,249,554,665.25
  5. Step 5: Solve for x
    x = 200,249,554,665.25/510,573.60
  6. Step 6: Final answer
    x = 392,205.07

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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.