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Finding the Fourth Proportional to 364,204.80, 546,307.20 and 342,043.20

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Solution

The fourth proportional to 364,204.80, 546,307.20 and 342,043.20 is: 513,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,204.80 : 546,307.20 = 342,043.20 : x
  2. Step 2: Convert to fraction form
    364,204.80/546,307.20 = 342,043.20/x
  3. Step 3: Cross multiply
    364,204.80x = 546,307.20 × 342,043.20
  4. Step 4: Simplify right side
    364,204.80x = 186,860,662,871.04
  5. Step 5: Solve for x
    x = 186,860,662,871.04/364,204.80
  6. Step 6: Final answer
    x = 513,064.80

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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.