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Finding the Fourth Proportional to 598,174.80, 825,014.43 and 383,334.84

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Solution

The fourth proportional to 598,174.80, 825,014.43 and 383,334.84 is: 528,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,174.80 : 825,014.43 = 383,334.84 : x
  2. Step 2: Convert to fraction form
    598,174.80/825,014.43 = 383,334.84/x
  3. Step 3: Cross multiply
    598,174.80x = 825,014.43 × 383,334.84
  4. Step 4: Simplify right side
    598,174.80x = 316,256,774,521.74
  5. Step 5: Solve for x
    x = 316,256,774,521.74/598,174.80
  6. Step 6: Final answer
    x = 528,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.