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Finding the Fourth Proportional to 316,041.64, 436,430.10 and 203,062.84

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Solution

The fourth proportional to 316,041.64, 436,430.10 and 203,062.84 is: 280,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,041.64 : 436,430.10 = 203,062.84 : x
  2. Step 2: Convert to fraction form
    316,041.64/436,430.10 = 203,062.84/x
  3. Step 3: Cross multiply
    316,041.64x = 436,430.10 × 203,062.84
  4. Step 4: Simplify right side
    316,041.64x = 88,622,735,567.48
  5. Step 5: Solve for x
    x = 88,622,735,567.48/316,041.64
  6. Step 6: Final answer
    x = 280,414.74

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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.