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Finding the Fourth Proportional to 707,723.22, 976,685.68 and 401,828.06

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Solution

The fourth proportional to 707,723.22, 976,685.68 and 401,828.06 is: 554,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,723.22 : 976,685.68 = 401,828.06 : x
  2. Step 2: Convert to fraction form
    707,723.22/976,685.68 = 401,828.06/x
  3. Step 3: Cross multiply
    707,723.22x = 976,685.68 × 401,828.06
  4. Step 4: Simplify right side
    707,723.22x = 392,459,712,024.18
  5. Step 5: Solve for x
    x = 392,459,712,024.18/707,723.22
  6. Step 6: Final answer
    x = 554,538.41

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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.