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Finding the Fourth Proportional to 557,750.10, 769,693.02 and 316,078.68

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Solution

The fourth proportional to 557,750.10, 769,693.02 and 316,078.68 is: 436,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,750.10 : 769,693.02 = 316,078.68 : x
  2. Step 2: Convert to fraction form
    557,750.10/769,693.02 = 316,078.68/x
  3. Step 3: Cross multiply
    557,750.10x = 769,693.02 × 316,078.68
  4. Step 4: Simplify right side
    557,750.10x = 243,283,553,766.81
  5. Step 5: Solve for x
    x = 243,283,553,766.81/557,750.10
  6. Step 6: Final answer
    x = 436,187.38

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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.