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Finding the Fourth Proportional to 317,050.74, 475,437.87 and 119,920.50

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Solution

The fourth proportional to 317,050.74, 475,437.87 and 119,920.50 is: 179,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,050.74 : 475,437.87 = 119,920.50 : x
  2. Step 2: Convert to fraction form
    317,050.74/475,437.87 = 119,920.50/x
  3. Step 3: Cross multiply
    317,050.74x = 475,437.87 × 119,920.50
  4. Step 4: Simplify right side
    317,050.74x = 57,014,747,089.34
  5. Step 5: Solve for x
    x = 57,014,747,089.34/317,050.74
  6. Step 6: Final answer
    x = 179,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.