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Finding the Fourth Proportional to 334,002.40, 501,022.80 and 97,381.60

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Solution

The fourth proportional to 334,002.40, 501,022.80 and 97,381.60 is: 146,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,002.40 : 501,022.80 = 97,381.60 : x
  2. Step 2: Convert to fraction form
    334,002.40/501,022.80 = 97,381.60/x
  3. Step 3: Cross multiply
    334,002.40x = 501,022.80 × 97,381.60
  4. Step 4: Simplify right side
    334,002.40x = 48,790,401,900.48
  5. Step 5: Solve for x
    x = 48,790,401,900.48/334,002.40
  6. Step 6: Final answer
    x = 146,078.00

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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.