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Finding the Fourth Proportional to 411,475.48, 616,578.18 and 277,831.96

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Solution

The fourth proportional to 411,475.48, 616,578.18 and 277,831.96 is: 416,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475.48 : 616,578.18 = 277,831.96 : x
  2. Step 2: Convert to fraction form
    411,475.48/616,578.18 = 277,831.96/x
  3. Step 3: Cross multiply
    411,475.48x = 616,578.18 × 277,831.96
  4. Step 4: Simplify right side
    411,475.48x = 171,305,124,242.63
  5. Step 5: Solve for x
    x = 171,305,124,242.63/411,475.48
  6. Step 6: Final answer
    x = 416,319.16

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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.