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Finding the Fourth Proportional to 364,264.40, 546,365.88 and 205,994.96

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Solution

The fourth proportional to 364,264.40, 546,365.88 and 205,994.96 is: 308,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,264.40 : 546,365.88 = 205,994.96 : x
  2. Step 2: Convert to fraction form
    364,264.40/546,365.88 = 205,994.96/x
  3. Step 3: Cross multiply
    364,264.40x = 546,365.88 × 205,994.96
  4. Step 4: Simplify right side
    364,264.40x = 112,548,617,595.97
  5. Step 5: Solve for x
    x = 112,548,617,595.97/364,264.40
  6. Step 6: Final answer
    x = 308,975.07

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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.