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Finding the Fourth Proportional to 705,522.74, 972,694.92 and 509,124.41

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Solution

The fourth proportional to 705,522.74, 972,694.92 and 509,124.41 is: 701,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,522.74 : 972,694.92 = 509,124.41 : x
  2. Step 2: Convert to fraction form
    705,522.74/972,694.92 = 509,124.41/x
  3. Step 3: Cross multiply
    705,522.74x = 972,694.92 × 509,124.41
  4. Step 4: Simplify right side
    705,522.74x = 495,222,727,255.00
  5. Step 5: Solve for x
    x = 495,222,727,255.00/705,522.74
  6. Step 6: Final answer
    x = 701,923.13

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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.