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Finding the Fourth Proportional to 383,762.64, 575,645.40 and 117,522.12

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Solution

The fourth proportional to 383,762.64, 575,645.40 and 117,522.12 is: 176,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,762.64 : 575,645.40 = 117,522.12 : x
  2. Step 2: Convert to fraction form
    383,762.64/575,645.40 = 117,522.12/x
  3. Step 3: Cross multiply
    383,762.64x = 575,645.40 × 117,522.12
  4. Step 4: Simplify right side
    383,762.64x = 67,651,067,776.25
  5. Step 5: Solve for x
    x = 67,651,067,776.25/383,762.64
  6. Step 6: Final answer
    x = 176,283.62

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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.