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Finding the Fourth Proportional to 559,057.14, 771,474.78 and 317,335.32

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Solution

The fourth proportional to 559,057.14, 771,474.78 and 317,335.32 is: 437,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,057.14 : 771,474.78 = 317,335.32 : x
  2. Step 2: Convert to fraction form
    559,057.14/771,474.78 = 317,335.32/x
  3. Step 3: Cross multiply
    559,057.14x = 771,474.78 × 317,335.32
  4. Step 4: Simplify right side
    559,057.14x = 244,816,196,183.23
  5. Step 5: Solve for x
    x = 244,816,196,183.23/559,057.14
  6. Step 6: Final answer
    x = 437,909.08

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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.