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Finding the Fourth Proportional to 416,876.24, 575,366.76 and 238,028.24

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Solution

The fourth proportional to 416,876.24, 575,366.76 and 238,028.24 is: 328,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,876.24 : 575,366.76 = 238,028.24 : x
  2. Step 2: Convert to fraction form
    416,876.24/575,366.76 = 238,028.24/x
  3. Step 3: Cross multiply
    416,876.24x = 575,366.76 × 238,028.24
  4. Step 4: Simplify right side
    416,876.24x = 136,953,537,237.30
  5. Step 5: Solve for x
    x = 136,953,537,237.30/416,876.24
  6. Step 6: Final answer
    x = 328,523.25

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1.5x scale

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.