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Finding the Fourth Proportional to 702,461.62, 969,398.22 and 380,172.04

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Solution

The fourth proportional to 702,461.62, 969,398.22 and 380,172.04 is: 524,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,461.62 : 969,398.22 = 380,172.04 : x
  2. Step 2: Convert to fraction form
    702,461.62/969,398.22 = 380,172.04/x
  3. Step 3: Cross multiply
    702,461.62x = 969,398.22 × 380,172.04
  4. Step 4: Simplify right side
    702,461.62x = 368,538,098,869.77
  5. Step 5: Solve for x
    x = 368,538,098,869.77/702,461.62
  6. Step 6: Final answer
    x = 524,638.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.