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Finding the Fourth Proportional to 364,549.80, 546,387.30 and 186,965.40

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Solution

The fourth proportional to 364,549.80, 546,387.30 and 186,965.40 is: 280,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,549.80 : 546,387.30 = 186,965.40 : x
  2. Step 2: Convert to fraction form
    364,549.80/546,387.30 = 186,965.40/x
  3. Step 3: Cross multiply
    364,549.80x = 546,387.30 × 186,965.40
  4. Step 4: Simplify right side
    364,549.80x = 102,155,520,099.42
  5. Step 5: Solve for x
    x = 102,155,520,099.42/364,549.80
  6. Step 6: Final answer
    x = 280,223.77

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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.