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Finding the Fourth Proportional to 316,066.88, 436,176.96 and 214,123.52

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Solution

The fourth proportional to 316,066.88, 436,176.96 and 214,123.52 is: 295,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,066.88 : 436,176.96 = 214,123.52 : x
  2. Step 2: Convert to fraction form
    316,066.88/436,176.96 = 214,123.52/x
  3. Step 3: Cross multiply
    316,066.88x = 436,176.96 × 214,123.52
  4. Step 4: Simplify right side
    316,066.88x = 93,395,746,018.10
  5. Step 5: Solve for x
    x = 93,395,746,018.10/316,066.88
  6. Step 6: Final answer
    x = 295,493.62

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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.