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Finding the Fourth Proportional to 559,109.92, 771,564.06 and 317,390.38

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Solution

The fourth proportional to 559,109.92, 771,564.06 and 317,390.38 is: 437,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,109.92 : 771,564.06 = 317,390.38 : x
  2. Step 2: Convert to fraction form
    559,109.92/771,564.06 = 317,390.38/x
  3. Step 3: Cross multiply
    559,109.92x = 771,564.06 × 317,390.38
  4. Step 4: Simplify right side
    559,109.92x = 244,887,010,197.74
  5. Step 5: Solve for x
    x = 244,887,010,197.74/559,109.92
  6. Step 6: Final answer
    x = 437,994.39

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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.