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Finding the Fourth Proportional to 477,323.90, 715,512.86 and 224,151.18

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Solution

The fourth proportional to 477,323.90, 715,512.86 and 224,151.18 is: 336,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,323.90 : 715,512.86 = 224,151.18 : x
  2. Step 2: Convert to fraction form
    477,323.90/715,512.86 = 224,151.18/x
  3. Step 3: Cross multiply
    477,323.90x = 715,512.86 × 224,151.18
  4. Step 4: Simplify right side
    477,323.90x = 160,383,051,874.18
  5. Step 5: Solve for x
    x = 160,383,051,874.18/477,323.90
  6. Step 6: Final answer
    x = 336,004.65

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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.