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Finding the Fourth Proportional to 383,534.62, 575,301.91 and 364,356.51

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Solution

The fourth proportional to 383,534.62, 575,301.91 and 364,356.51 is: 546,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,534.62 : 575,301.91 = 364,356.51 : x
  2. Step 2: Convert to fraction form
    383,534.62/575,301.91 = 364,356.51/x
  3. Step 3: Cross multiply
    383,534.62x = 575,301.91 × 364,356.51
  4. Step 4: Simplify right side
    383,534.62x = 209,614,997,440.08
  5. Step 5: Solve for x
    x = 209,614,997,440.08/383,534.62
  6. Step 6: Final answer
    x = 546,534.75

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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.