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Finding the Fourth Proportional to 744,642.20, 1,027,963.15 and 458,407.64

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Solution

The fourth proportional to 744,642.20, 1,027,963.15 and 458,407.64 is: 632,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,642.20 : 1,027,963.15 = 458,407.64 : x
  2. Step 2: Convert to fraction form
    744,642.20/1,027,963.15 = 458,407.64/x
  3. Step 3: Cross multiply
    744,642.20x = 1,027,963.15 × 458,407.64
  4. Step 4: Simplify right side
    744,642.20x = 471,226,161,598.47
  5. Step 5: Solve for x
    x = 471,226,161,598.47/744,642.20
  6. Step 6: Final answer
    x = 632,822.26

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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.