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Finding the Fourth Proportional to 456,754.89, 684,820.93 and 231,681.32

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Solution

The fourth proportional to 456,754.89, 684,820.93 and 231,681.32 is: 347,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,754.89 : 684,820.93 = 231,681.32 : x
  2. Step 2: Convert to fraction form
    456,754.89/684,820.93 = 231,681.32/x
  3. Step 3: Cross multiply
    456,754.89x = 684,820.93 × 231,681.32
  4. Step 4: Simplify right side
    456,754.89x = 158,660,212,443.52
  5. Step 5: Solve for x
    x = 158,660,212,443.52/456,754.89
  6. Step 6: Final answer
    x = 347,364.02

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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.