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Finding the Fourth Proportional to 442,429, 663,646.04 and 110,005

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Solution

The fourth proportional to 442,429, 663,646.04 and 110,005 is: 165,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,429 : 663,646.04 = 110,005 : x
  2. Step 2: Convert to fraction form
    442,429/663,646.04 = 110,005/x
  3. Step 3: Cross multiply
    442,429x = 663,646.04 × 110,005
  4. Step 4: Simplify right side
    442,429x = 73,004,382,630.20
  5. Step 5: Solve for x
    x = 73,004,382,630.20/442,429
  6. Step 6: Final answer
    x = 165,008.13

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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.