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Finding the Fourth Proportional to 453,546, 680,347.08 and 138,026.16

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Solution

The fourth proportional to 453,546, 680,347.08 and 138,026.16 is: 207,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,546 : 680,347.08 = 138,026.16 : x
  2. Step 2: Convert to fraction form
    453,546/680,347.08 = 138,026.16/x
  3. Step 3: Cross multiply
    453,546x = 680,347.08 × 138,026.16
  4. Step 4: Simplify right side
    453,546x = 93,905,694,919.61
  5. Step 5: Solve for x
    x = 93,905,694,919.61/453,546
  6. Step 6: Final answer
    x = 207,047.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.