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Finding the Fourth Proportional to 364,205.80, 546,308.70 and 342,044.20

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Solution

The fourth proportional to 364,205.80, 546,308.70 and 342,044.20 is: 513,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,205.80 : 546,308.70 = 342,044.20 : x
  2. Step 2: Convert to fraction form
    364,205.80/546,308.70 = 342,044.20/x
  3. Step 3: Cross multiply
    364,205.80x = 546,308.70 × 342,044.20
  4. Step 4: Simplify right side
    364,205.80x = 186,861,722,244.54
  5. Step 5: Solve for x
    x = 186,861,722,244.54/364,205.80
  6. Step 6: Final answer
    x = 513,066.30

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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.