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Finding the Fourth Proportional to 383,598.96, 575,377.44 and 117,359.48

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Solution

The fourth proportional to 383,598.96, 575,377.44 and 117,359.48 is: 176,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,598.96 : 575,377.44 = 117,359.48 : x
  2. Step 2: Convert to fraction form
    383,598.96/575,377.44 = 117,359.48/x
  3. Step 3: Cross multiply
    383,598.96x = 575,377.44 × 117,359.48
  4. Step 4: Simplify right side
    383,598.96x = 67,525,997,162.13
  5. Step 5: Solve for x
    x = 67,525,997,162.13/383,598.96
  6. Step 6: Final answer
    x = 176,032.80

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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.