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Finding the Fourth Proportional to 531,216, 796,980.06 and 157,248.72

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Solution

The fourth proportional to 531,216, 796,980.06 and 157,248.72 is: 235,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216 : 796,980.06 = 157,248.72 : x
  2. Step 2: Convert to fraction form
    531,216/796,980.06 = 157,248.72/x
  3. Step 3: Cross multiply
    531,216x = 796,980.06 × 157,248.72
  4. Step 4: Simplify right side
    531,216x = 125,324,094,300.52
  5. Step 5: Solve for x
    x = 125,324,094,300.52/531,216
  6. Step 6: Final answer
    x = 235,919.28

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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.