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Finding the Fourth Proportional to 283,825.80, 391,862.16 and 176,541.84

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Solution

The fourth proportional to 283,825.80, 391,862.16 and 176,541.84 is: 243,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,825.80 : 391,862.16 = 176,541.84 : x
  2. Step 2: Convert to fraction form
    283,825.80/391,862.16 = 176,541.84/x
  3. Step 3: Cross multiply
    283,825.80x = 391,862.16 × 176,541.84
  4. Step 4: Simplify right side
    283,825.80x = 69,180,066,752.77
  5. Step 5: Solve for x
    x = 69,180,066,752.77/283,825.80
  6. Step 6: Final answer
    x = 243,741.29

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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.