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Finding the Fourth Proportional to 385,863.74, 578,817.47 and 119,662.10

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Solution

The fourth proportional to 385,863.74, 578,817.47 and 119,662.10 is: 179,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,863.74 : 578,817.47 = 119,662.10 : x
  2. Step 2: Convert to fraction form
    385,863.74/578,817.47 = 119,662.10/x
  3. Step 3: Cross multiply
    385,863.74x = 578,817.47 × 119,662.10
  4. Step 4: Simplify right side
    385,863.74x = 69,262,510,484.49
  5. Step 5: Solve for x
    x = 69,262,510,484.49/385,863.74
  6. Step 6: Final answer
    x = 179,499.92

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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.