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Finding the Fourth Proportional to 383,430.30, 574,713.45 and 183,846.30

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Solution

The fourth proportional to 383,430.30, 574,713.45 and 183,846.30 is: 275,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,430.30 : 574,713.45 = 183,846.30 : x
  2. Step 2: Convert to fraction form
    383,430.30/574,713.45 = 183,846.30/x
  3. Step 3: Cross multiply
    383,430.30x = 574,713.45 × 183,846.30
  4. Step 4: Simplify right side
    383,430.30x = 105,658,941,342.74
  5. Step 5: Solve for x
    x = 105,658,941,342.74/383,430.30
  6. Step 6: Final answer
    x = 275,562.32

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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.