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Finding the Fourth Proportional to 599,154.32, 827,170.44 and 415,658

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Solution

The fourth proportional to 599,154.32, 827,170.44 and 415,658 is: 573,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,154.32 : 827,170.44 = 415,658 : x
  2. Step 2: Convert to fraction form
    599,154.32/827,170.44 = 415,658/x
  3. Step 3: Cross multiply
    599,154.32x = 827,170.44 × 415,658
  4. Step 4: Simplify right side
    599,154.32x = 343,820,010,749.52
  5. Step 5: Solve for x
    x = 343,820,010,749.52/599,154.32
  6. Step 6: Final answer
    x = 573,842.16

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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.