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Finding the Fourth Proportional to 763,903, 1,054,283.34 and 462,099.16

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Solution

The fourth proportional to 763,903, 1,054,283.34 and 462,099.16 is: 637,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,903 : 1,054,283.34 = 462,099.16 : x
  2. Step 2: Convert to fraction form
    763,903/1,054,283.34 = 462,099.16/x
  3. Step 3: Cross multiply
    763,903x = 1,054,283.34 × 462,099.16
  4. Step 4: Simplify right side
    763,903x = 487,183,445,815.99
  5. Step 5: Solve for x
    x = 487,183,445,815.99/763,903
  6. Step 6: Final answer
    x = 637,755.64

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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.