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Finding the Fourth Proportional to 383,801.29, 575,775.74 and 117,564.11

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Solution

The fourth proportional to 383,801.29, 575,775.74 and 117,564.11 is: 176,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,801.29 : 575,775.74 = 117,564.11 : x
  2. Step 2: Convert to fraction form
    383,801.29/575,775.74 = 117,564.11/x
  3. Step 3: Cross multiply
    383,801.29x = 575,775.74 × 117,564.11
  4. Step 4: Simplify right side
    383,801.29x = 67,690,562,006.88
  5. Step 5: Solve for x
    x = 67,690,562,006.88/383,801.29
  6. Step 6: Final answer
    x = 176,368.77

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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.