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Finding the Fourth Proportional to 449,816.49, 674,713.98 and 146,210.28

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Solution

The fourth proportional to 449,816.49, 674,713.98 and 146,210.28 is: 219,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,816.49 : 674,713.98 = 146,210.28 : x
  2. Step 2: Convert to fraction form
    449,816.49/674,713.98 = 146,210.28/x
  3. Step 3: Cross multiply
    449,816.49x = 674,713.98 × 146,210.28
  4. Step 4: Simplify right side
    449,816.49x = 98,650,119,935.71
  5. Step 5: Solve for x
    x = 98,650,119,935.71/449,816.49
  6. Step 6: Final answer
    x = 219,311.92

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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.