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Finding the Fourth Proportional to 325,842, 449,502.18 and 282,761.04

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Solution

The fourth proportional to 325,842, 449,502.18 and 282,761.04 is: 390,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,842 : 449,502.18 = 282,761.04 : x
  2. Step 2: Convert to fraction form
    325,842/449,502.18 = 282,761.04/x
  3. Step 3: Cross multiply
    325,842x = 449,502.18 × 282,761.04
  4. Step 4: Simplify right side
    325,842x = 127,101,703,899.07
  5. Step 5: Solve for x
    x = 127,101,703,899.07/325,842
  6. Step 6: Final answer
    x = 390,071.58

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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.