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Finding the Fourth Proportional to 557,873.12, 769,848.72 and 316,178.03

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Solution

The fourth proportional to 557,873.12, 769,848.72 and 316,178.03 is: 436,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,873.12 : 769,848.72 = 316,178.03 : x
  2. Step 2: Convert to fraction form
    557,873.12/769,848.72 = 316,178.03/x
  3. Step 3: Cross multiply
    557,873.12x = 769,848.72 × 316,178.03
  4. Step 4: Simplify right side
    557,873.12x = 243,409,247,838.38
  5. Step 5: Solve for x
    x = 243,409,247,838.38/557,873.12
  6. Step 6: Final answer
    x = 436,316.51

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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.