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Finding the Fourth Proportional to 364,532.20, 509,164.10 and 364,532.20

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Solution

The fourth proportional to 364,532.20, 509,164.10 and 364,532.20 is: 509,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,532.20 : 509,164.10 = 364,532.20 : x
  2. Step 2: Convert to fraction form
    364,532.20/509,164.10 = 364,532.20/x
  3. Step 3: Cross multiply
    364,532.20x = 509,164.10 × 364,532.20
  4. Step 4: Simplify right side
    364,532.20x = 185,606,709,534.02
  5. Step 5: Solve for x
    x = 185,606,709,534.02/364,532.20
  6. Step 6: Final answer
    x = 509,164.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.