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Finding the Fourth Proportional to 383,875.12, 575,896.92 and 117,655.66

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Solution

The fourth proportional to 383,875.12, 575,896.92 and 117,655.66 is: 176,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,875.12 : 575,896.92 = 117,655.66 : x
  2. Step 2: Convert to fraction form
    383,875.12/575,896.92 = 117,655.66/x
  3. Step 3: Cross multiply
    383,875.12x = 575,896.92 × 117,655.66
  4. Step 4: Simplify right side
    383,875.12x = 67,757,532,214.57
  5. Step 5: Solve for x
    x = 67,757,532,214.57/383,875.12
  6. Step 6: Final answer
    x = 176,509.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.