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Finding the Fourth Proportional to 705,512.49, 972,680.79 and 509,114.15

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Solution

The fourth proportional to 705,512.49, 972,680.79 and 509,114.15 is: 701,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,512.49 : 972,680.79 = 509,114.15 : x
  2. Step 2: Convert to fraction form
    705,512.49/972,680.79 = 509,114.15/x
  3. Step 3: Cross multiply
    705,512.49x = 972,680.79 × 509,114.15
  4. Step 4: Simplify right side
    705,512.49x = 495,205,548,758.78
  5. Step 5: Solve for x
    x = 495,205,548,758.78/705,512.49
  6. Step 6: Final answer
    x = 701,908.98

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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.