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Finding the Fourth Proportional to 705,513.49, 972,682.17 and 509,115.15

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Solution

The fourth proportional to 705,513.49, 972,682.17 and 509,115.15 is: 701,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,513.49 : 972,682.17 = 509,115.15 : x
  2. Step 2: Convert to fraction form
    705,513.49/972,682.17 = 509,115.15/x
  3. Step 3: Cross multiply
    705,513.49x = 972,682.17 × 509,115.15
  4. Step 4: Simplify right side
    705,513.49x = 495,207,228,881.88
  5. Step 5: Solve for x
    x = 495,207,228,881.88/705,513.49
  6. Step 6: Final answer
    x = 701,910.36

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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.