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Finding the Fourth Proportional to 364,268.56, 546,402.84 and 114,970

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Solution

The fourth proportional to 364,268.56, 546,402.84 and 114,970 is: 172,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,268.56 : 546,402.84 = 114,970 : x
  2. Step 2: Convert to fraction form
    364,268.56/546,402.84 = 114,970/x
  3. Step 3: Cross multiply
    364,268.56x = 546,402.84 × 114,970
  4. Step 4: Simplify right side
    364,268.56x = 62,819,934,514.80
  5. Step 5: Solve for x
    x = 62,819,934,514.80/364,268.56
  6. Step 6: Final answer
    x = 172,455

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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.