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Finding the Fourth Proportional to 463,467.30, 695,200.95 and 164,285.70

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Solution

The fourth proportional to 463,467.30, 695,200.95 and 164,285.70 is: 246,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,467.30 : 695,200.95 = 164,285.70 : x
  2. Step 2: Convert to fraction form
    463,467.30/695,200.95 = 164,285.70/x
  3. Step 3: Cross multiply
    463,467.30x = 695,200.95 × 164,285.70
  4. Step 4: Simplify right side
    463,467.30x = 114,211,574,711.42
  5. Step 5: Solve for x
    x = 114,211,574,711.42/463,467.30
  6. Step 6: Final answer
    x = 246,428.55

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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.