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Finding the Fourth Proportional to 531,532.48, 797,162.64 and 157,468

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Solution

The fourth proportional to 531,532.48, 797,162.64 and 157,468 is: 236,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,532.48 : 797,162.64 = 157,468 : x
  2. Step 2: Convert to fraction form
    531,532.48/797,162.64 = 157,468/x
  3. Step 3: Cross multiply
    531,532.48x = 797,162.64 × 157,468
  4. Step 4: Simplify right side
    531,532.48x = 125,527,606,595.52
  5. Step 5: Solve for x
    x = 125,527,606,595.52/531,532.48
  6. Step 6: Final answer
    x = 236,161.69

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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.