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Finding the Fourth Proportional to 440,186.82, 607,602.51 and 258,891

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Solution

The fourth proportional to 440,186.82, 607,602.51 and 258,891 is: 357,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,186.82 : 607,602.51 = 258,891 : x
  2. Step 2: Convert to fraction form
    440,186.82/607,602.51 = 258,891/x
  3. Step 3: Cross multiply
    440,186.82x = 607,602.51 × 258,891
  4. Step 4: Simplify right side
    440,186.82x = 157,302,821,416.41
  5. Step 5: Solve for x
    x = 157,302,821,416.41/440,186.82
  6. Step 6: Final answer
    x = 357,354.68

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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.