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Finding the Fourth Proportional to 364,392, 546,675.48 and 115,074

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Solution

The fourth proportional to 364,392, 546,675.48 and 115,074 is: 172,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,392 : 546,675.48 = 115,074 : x
  2. Step 2: Convert to fraction form
    364,392/546,675.48 = 115,074/x
  3. Step 3: Cross multiply
    364,392x = 546,675.48 × 115,074
  4. Step 4: Simplify right side
    364,392x = 62,908,134,185.52
  5. Step 5: Solve for x
    x = 62,908,134,185.52/364,392
  6. Step 6: Final answer
    x = 172,638.63

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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.