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Finding the Fourth Proportional to 417,264.20, 575,782.26 and 256,126.04

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Solution

The fourth proportional to 417,264.20, 575,782.26 and 256,126.04 is: 353,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,264.20 : 575,782.26 = 256,126.04 : x
  2. Step 2: Convert to fraction form
    417,264.20/575,782.26 = 256,126.04/x
  3. Step 3: Cross multiply
    417,264.20x = 575,782.26 × 256,126.04
  4. Step 4: Simplify right side
    417,264.20x = 147,472,830,156.05
  5. Step 5: Solve for x
    x = 147,472,830,156.05/417,264.20
  6. Step 6: Final answer
    x = 353,427.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.