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Finding the Fourth Proportional to 362,714.51, 544,071.06 and 96,475.31

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Solution

The fourth proportional to 362,714.51, 544,071.06 and 96,475.31 is: 144,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,714.51 : 544,071.06 = 96,475.31 : x
  2. Step 2: Convert to fraction form
    362,714.51/544,071.06 = 96,475.31/x
  3. Step 3: Cross multiply
    362,714.51x = 544,071.06 × 96,475.31
  4. Step 4: Simplify right side
    362,714.51x = 52,489,424,175.53
  5. Step 5: Solve for x
    x = 52,489,424,175.53/362,714.51
  6. Step 6: Final answer
    x = 144,712.78

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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.