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Finding the Fourth Proportional to 386,102.40, 579,124.80 and 161,404.80

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Solution

The fourth proportional to 386,102.40, 579,124.80 and 161,404.80 is: 242,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,102.40 : 579,124.80 = 161,404.80 : x
  2. Step 2: Convert to fraction form
    386,102.40/579,124.80 = 161,404.80/x
  3. Step 3: Cross multiply
    386,102.40x = 579,124.80 × 161,404.80
  4. Step 4: Simplify right side
    386,102.40x = 93,473,522,519.04
  5. Step 5: Solve for x
    x = 93,473,522,519.04/386,102.40
  6. Step 6: Final answer
    x = 242,095.16

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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.