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Finding the Fourth Proportional to 450,714.18, 622,407.04 and 289,848.48

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Solution

The fourth proportional to 450,714.18, 622,407.04 and 289,848.48 is: 400,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,714.18 : 622,407.04 = 289,848.48 : x
  2. Step 2: Convert to fraction form
    450,714.18/622,407.04 = 289,848.48/x
  3. Step 3: Cross multiply
    450,714.18x = 622,407.04 × 289,848.48
  4. Step 4: Simplify right side
    450,714.18x = 180,403,734,485.30
  5. Step 5: Solve for x
    x = 180,403,734,485.30/450,714.18
  6. Step 6: Final answer
    x = 400,261.95

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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.