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Finding the Fourth Proportional to 383,493.06, 575,266.32 and 117,233.10

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Solution

The fourth proportional to 383,493.06, 575,266.32 and 117,233.10 is: 175,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,493.06 : 575,266.32 = 117,233.10 : x
  2. Step 2: Convert to fraction form
    383,493.06/575,266.32 = 117,233.10/x
  3. Step 3: Cross multiply
    383,493.06x = 575,266.32 × 117,233.10
  4. Step 4: Simplify right side
    383,493.06x = 67,440,254,019.19
  5. Step 5: Solve for x
    x = 67,440,254,019.19/383,493.06
  6. Step 6: Final answer
    x = 175,857.82

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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.