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Finding the Fourth Proportional to 382,668.30, 574,002.45 and 98,358.30

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Solution

The fourth proportional to 382,668.30, 574,002.45 and 98,358.30 is: 147,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668.30 : 574,002.45 = 98,358.30 : x
  2. Step 2: Convert to fraction form
    382,668.30/574,002.45 = 98,358.30/x
  3. Step 3: Cross multiply
    382,668.30x = 574,002.45 × 98,358.30
  4. Step 4: Simplify right side
    382,668.30x = 56,457,905,177.84
  5. Step 5: Solve for x
    x = 56,457,905,177.84/382,668.30
  6. Step 6: Final answer
    x = 147,537.45

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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.