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Finding the Fourth Proportional to 559,054.75, 771,508.22 and 317,314.70

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Solution

The fourth proportional to 559,054.75, 771,508.22 and 317,314.70 is: 437,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,054.75 : 771,508.22 = 317,314.70 : x
  2. Step 2: Convert to fraction form
    559,054.75/771,508.22 = 317,314.70/x
  3. Step 3: Cross multiply
    559,054.75x = 771,508.22 × 317,314.70
  4. Step 4: Simplify right side
    559,054.75x = 244,810,899,719.03
  5. Step 5: Solve for x
    x = 244,810,899,719.03/559,054.75
  6. Step 6: Final answer
    x = 437,901.48

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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.