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Finding the Fourth Proportional to 316,794.24, 475,366.32 and 129,762

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Solution

The fourth proportional to 316,794.24, 475,366.32 and 129,762 is: 194,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,794.24 : 475,366.32 = 129,762 : x
  2. Step 2: Convert to fraction form
    316,794.24/475,366.32 = 129,762/x
  3. Step 3: Cross multiply
    316,794.24x = 475,366.32 × 129,762
  4. Step 4: Simplify right side
    316,794.24x = 61,684,484,415.84
  5. Step 5: Solve for x
    x = 61,684,484,415.84/316,794.24
  6. Step 6: Final answer
    x = 194,714.67

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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.