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Finding the Fourth Proportional to 364,532.80, 546,799.20 and 364,532.80

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Solution

The fourth proportional to 364,532.80, 546,799.20 and 364,532.80 is: 546,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,532.80 : 546,799.20 = 364,532.80 : x
  2. Step 2: Convert to fraction form
    364,532.80/546,799.20 = 364,532.80/x
  3. Step 3: Cross multiply
    364,532.80x = 546,799.20 × 364,532.80
  4. Step 4: Simplify right side
    364,532.80x = 199,326,243,413.76
  5. Step 5: Solve for x
    x = 199,326,243,413.76/364,532.80
  6. Step 6: Final answer
    x = 546,799.20

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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.