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Finding the Fourth Proportional to 416,824.20, 575,190.18 and 265,905

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Solution

The fourth proportional to 416,824.20, 575,190.18 and 265,905 is: 366,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,824.20 : 575,190.18 = 265,905 : x
  2. Step 2: Convert to fraction form
    416,824.20/575,190.18 = 265,905/x
  3. Step 3: Cross multiply
    416,824.20x = 575,190.18 × 265,905
  4. Step 4: Simplify right side
    416,824.20x = 152,945,944,812.90
  5. Step 5: Solve for x
    x = 152,945,944,812.90/416,824.20
  6. Step 6: Final answer
    x = 366,931.54

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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.