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Finding the Fourth Proportional to 383,686.42, 575,530.17 and 117,448.06

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Solution

The fourth proportional to 383,686.42, 575,530.17 and 117,448.06 is: 176,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,686.42 : 575,530.17 = 117,448.06 : x
  2. Step 2: Convert to fraction form
    383,686.42/575,530.17 = 117,448.06/x
  3. Step 3: Cross multiply
    383,686.42x = 575,530.17 × 117,448.06
  4. Step 4: Simplify right side
    383,686.42x = 67,594,901,937.97
  5. Step 5: Solve for x
    x = 67,594,901,937.97/383,686.42
  6. Step 6: Final answer
    x = 176,172.26

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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.