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Finding the Fourth Proportional to 383,988.34, 575,960.98 and 117,748.13

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Solution

The fourth proportional to 383,988.34, 575,960.98 and 117,748.13 is: 176,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,988.34 : 575,960.98 = 117,748.13 : x
  2. Step 2: Convert to fraction form
    383,988.34/575,960.98 = 117,748.13/x
  3. Step 3: Cross multiply
    383,988.34x = 575,960.98 × 117,748.13
  4. Step 4: Simplify right side
    383,988.34x = 67,818,325,173.79
  5. Step 5: Solve for x
    x = 67,818,325,173.79/383,988.34
  6. Step 6: Final answer
    x = 176,615.59

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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.