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Finding the Fourth Proportional to 531,329.64, 797,042.32 and 171,509.02

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Solution

The fourth proportional to 531,329.64, 797,042.32 and 171,509.02 is: 257,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,329.64 : 797,042.32 = 171,509.02 : x
  2. Step 2: Convert to fraction form
    531,329.64/797,042.32 = 171,509.02/x
  3. Step 3: Cross multiply
    531,329.64x = 797,042.32 × 171,509.02
  4. Step 4: Simplify right side
    531,329.64x = 136,699,948,910.57
  5. Step 5: Solve for x
    x = 136,699,948,910.57/531,329.64
  6. Step 6: Final answer
    x = 257,278.98

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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.