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Finding the Fourth Proportional to 334,047.80, 501,071.70 and 97,414.40

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Solution

The fourth proportional to 334,047.80, 501,071.70 and 97,414.40 is: 146,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,047.80 : 501,071.70 = 97,414.40 : x
  2. Step 2: Convert to fraction form
    334,047.80/501,071.70 = 97,414.40/x
  3. Step 3: Cross multiply
    334,047.80x = 501,071.70 × 97,414.40
  4. Step 4: Simplify right side
    334,047.80x = 48,811,599,012.48
  5. Step 5: Solve for x
    x = 48,811,599,012.48/334,047.80
  6. Step 6: Final answer
    x = 146,121.60

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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.