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Finding the Fourth Proportional to 837,398.12, 1,255,908.54 and 238,346.01

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Solution

The fourth proportional to 837,398.12, 1,255,908.54 and 238,346.01 is: 357,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,398.12 : 1,255,908.54 = 238,346.01 : x
  2. Step 2: Convert to fraction form
    837,398.12/1,255,908.54 = 238,346.01/x
  3. Step 3: Cross multiply
    837,398.12x = 1,255,908.54 × 238,346.01
  4. Step 4: Simplify right side
    837,398.12x = 299,340,790,327.72
  5. Step 5: Solve for x
    x = 299,340,790,327.72/837,398.12
  6. Step 6: Final answer
    x = 357,465.33

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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.