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Finding the Fourth Proportional to 474,979.10, 712,468.65 and 119,994.14

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Solution

The fourth proportional to 474,979.10, 712,468.65 and 119,994.14 is: 179,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,979.10 : 712,468.65 = 119,994.14 : x
  2. Step 2: Convert to fraction form
    474,979.10/712,468.65 = 119,994.14/x
  3. Step 3: Cross multiply
    474,979.10x = 712,468.65 × 119,994.14
  4. Step 4: Simplify right side
    474,979.10x = 85,492,062,933.71
  5. Step 5: Solve for x
    x = 85,492,062,933.71/474,979.10
  6. Step 6: Final answer
    x = 179,991.21

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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.