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Finding the Fourth Proportional to 416,823.20, 575,188.80 and 265,904

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Solution

The fourth proportional to 416,823.20, 575,188.80 and 265,904 is: 366,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,823.20 : 575,188.80 = 265,904 : x
  2. Step 2: Convert to fraction form
    416,823.20/575,188.80 = 265,904/x
  3. Step 3: Cross multiply
    416,823.20x = 575,188.80 × 265,904
  4. Step 4: Simplify right side
    416,823.20x = 152,945,002,675.20
  5. Step 5: Solve for x
    x = 152,945,002,675.20/416,823.20
  6. Step 6: Final answer
    x = 366,930.16

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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.