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Finding the Fourth Proportional to 456,304.00, 684,403.70 and 119,377.16

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Solution

The fourth proportional to 456,304.00, 684,403.70 and 119,377.16 is: 179,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,304.00 : 684,403.70 = 119,377.16 : x
  2. Step 2: Convert to fraction form
    456,304.00/684,403.70 = 119,377.16/x
  3. Step 3: Cross multiply
    456,304.00x = 684,403.70 × 119,377.16
  4. Step 4: Simplify right side
    456,304.00x = 81,702,169,402.61
  5. Step 5: Solve for x
    x = 81,702,169,402.61/456,304.00
  6. Step 6: Final answer
    x = 179,052.06

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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.