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Finding the Fourth Proportional to 382,553.86, 573,862.91 and 116,316.67

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Solution

The fourth proportional to 382,553.86, 573,862.91 and 116,316.67 is: 174,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,553.86 : 573,862.91 = 116,316.67 : x
  2. Step 2: Convert to fraction form
    382,553.86/573,862.91 = 116,316.67/x
  3. Step 3: Cross multiply
    382,553.86x = 573,862.91 × 116,316.67
  4. Step 4: Simplify right side
    382,553.86x = 66,749,822,727.71
  5. Step 5: Solve for x
    x = 66,749,822,727.71/382,553.86
  6. Step 6: Final answer
    x = 174,484.77

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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.