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Finding the Fourth Proportional to 383,996.80, 575,973.64 and 117,756.59

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Solution

The fourth proportional to 383,996.80, 575,973.64 and 117,756.59 is: 176,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,996.80 : 575,973.64 = 117,756.59 : x
  2. Step 2: Convert to fraction form
    383,996.80/575,973.64 = 117,756.59/x
  3. Step 3: Cross multiply
    383,996.80x = 575,973.64 × 117,756.59
  4. Step 4: Simplify right side
    383,996.80x = 67,824,688,381.23
  5. Step 5: Solve for x
    x = 67,824,688,381.23/383,996.80
  6. Step 6: Final answer
    x = 176,628.26

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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.