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Finding the Fourth Proportional to 306,002.30, 457,966.65 and 306,002.30

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Solution

The fourth proportional to 306,002.30, 457,966.65 and 306,002.30 is: 457,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.30 : 457,966.65 = 306,002.30 : x
  2. Step 2: Convert to fraction form
    306,002.30/457,966.65 = 306,002.30/x
  3. Step 3: Cross multiply
    306,002.30x = 457,966.65 × 306,002.30
  4. Step 4: Simplify right side
    306,002.30x = 140,138,848,223.30
  5. Step 5: Solve for x
    x = 140,138,848,223.30/306,002.30
  6. Step 6: Final answer
    x = 457,966.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.