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Finding the Fourth Proportional to 576,474.30, 865,048.41 and 416,392.38

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Solution

The fourth proportional to 576,474.30, 865,048.41 and 416,392.38 is: 624,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,474.30 : 865,048.41 = 416,392.38 : x
  2. Step 2: Convert to fraction form
    576,474.30/865,048.41 = 416,392.38/x
  3. Step 3: Cross multiply
    576,474.30x = 865,048.41 × 416,392.38
  4. Step 4: Simplify right side
    576,474.30x = 360,199,566,255.12
  5. Step 5: Solve for x
    x = 360,199,566,255.12/576,474.30
  6. Step 6: Final answer
    x = 624,831.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.