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Finding the Fourth Proportional to 582,460.26, 803,486.88 and 400,856.90

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Solution

The fourth proportional to 582,460.26, 803,486.88 and 400,856.90 is: 552,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,460.26 : 803,486.88 = 400,856.90 : x
  2. Step 2: Convert to fraction form
    582,460.26/803,486.88 = 400,856.90/x
  3. Step 3: Cross multiply
    582,460.26x = 803,486.88 × 400,856.90
  4. Step 4: Simplify right side
    582,460.26x = 322,083,259,907.47
  5. Step 5: Solve for x
    x = 322,083,259,907.47/582,460.26
  6. Step 6: Final answer
    x = 552,970.36

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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.