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Finding the Fourth Proportional to 334,562.30, 501,794.85 and 97,880.30

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Solution

The fourth proportional to 334,562.30, 501,794.85 and 97,880.30 is: 146,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,562.30 : 501,794.85 = 97,880.30 : x
  2. Step 2: Convert to fraction form
    334,562.30/501,794.85 = 97,880.30/x
  3. Step 3: Cross multiply
    334,562.30x = 501,794.85 × 97,880.30
  4. Step 4: Simplify right side
    334,562.30x = 49,115,830,456.46
  5. Step 5: Solve for x
    x = 49,115,830,456.46/334,562.30
  6. Step 6: Final answer
    x = 146,806.23

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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.