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Finding the Fourth Proportional to 409,095.04, 613,863.04 and 172,601.60

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Solution

The fourth proportional to 409,095.04, 613,863.04 and 172,601.60 is: 258,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,095.04 : 613,863.04 = 172,601.60 : x
  2. Step 2: Convert to fraction form
    409,095.04/613,863.04 = 172,601.60/x
  3. Step 3: Cross multiply
    409,095.04x = 613,863.04 × 172,601.60
  4. Step 4: Simplify right side
    409,095.04x = 105,953,742,884.86
  5. Step 5: Solve for x
    x = 105,953,742,884.86/409,095.04
  6. Step 6: Final answer
    x = 258,995.42

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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.