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Finding the Fourth Proportional to 329,624, 494,411.16 and 104,975.36

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Solution

The fourth proportional to 329,624, 494,411.16 and 104,975.36 is: 157,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,624 : 494,411.16 = 104,975.36 : x
  2. Step 2: Convert to fraction form
    329,624/494,411.16 = 104,975.36/x
  3. Step 3: Cross multiply
    329,624x = 494,411.16 × 104,975.36
  4. Step 4: Simplify right side
    329,624x = 51,900,989,509.02
  5. Step 5: Solve for x
    x = 51,900,989,509.02/329,624
  6. Step 6: Final answer
    x = 157,455.13

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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.