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Finding the Fourth Proportional to 666,434.40, 998,096.40 and 653,071.20

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Solution

The fourth proportional to 666,434.40, 998,096.40 and 653,071.20 is: 978,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,434.40 : 998,096.40 = 653,071.20 : x
  2. Step 2: Convert to fraction form
    666,434.40/998,096.40 = 653,071.20/x
  3. Step 3: Cross multiply
    666,434.40x = 998,096.40 × 653,071.20
  4. Step 4: Simplify right side
    666,434.40x = 651,828,013,663.68
  5. Step 5: Solve for x
    x = 651,828,013,663.68/666,434.40
  6. Step 6: Final answer
    x = 978,082.78

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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.