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Finding the Fourth Proportional to 334,258.40, 501,333.80 and 97,545.60

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Solution

The fourth proportional to 334,258.40, 501,333.80 and 97,545.60 is: 146,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,258.40 : 501,333.80 = 97,545.60 : x
  2. Step 2: Convert to fraction form
    334,258.40/501,333.80 = 97,545.60/x
  3. Step 3: Cross multiply
    334,258.40x = 501,333.80 × 97,545.60
  4. Step 4: Simplify right side
    334,258.40x = 48,902,906,321.28
  5. Step 5: Solve for x
    x = 48,902,906,321.28/334,258.40
  6. Step 6: Final answer
    x = 146,302.70

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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.