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Finding the Fourth Proportional to 305,320.20, 457,980.30 and 147,856.20

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Solution

The fourth proportional to 305,320.20, 457,980.30 and 147,856.20 is: 221,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,320.20 : 457,980.30 = 147,856.20 : x
  2. Step 2: Convert to fraction form
    305,320.20/457,980.30 = 147,856.20/x
  3. Step 3: Cross multiply
    305,320.20x = 457,980.30 × 147,856.20
  4. Step 4: Simplify right side
    305,320.20x = 67,715,226,832.86
  5. Step 5: Solve for x
    x = 67,715,226,832.86/305,320.20
  6. Step 6: Final answer
    x = 221,784.30

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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.