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Finding the Fourth Proportional to 407,002.60, 610,071.90 and 196,503.40

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Solution

The fourth proportional to 407,002.60, 610,071.90 and 196,503.40 is: 294,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.60 : 610,071.90 = 196,503.40 : x
  2. Step 2: Convert to fraction form
    407,002.60/610,071.90 = 196,503.40/x
  3. Step 3: Cross multiply
    407,002.60x = 610,071.90 × 196,503.40
  4. Step 4: Simplify right side
    407,002.60x = 119,881,202,594.46
  5. Step 5: Solve for x
    x = 119,881,202,594.46/407,002.60
  6. Step 6: Final answer
    x = 294,546.53

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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.