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Finding the Fourth Proportional to 1,202,158.59, 1,658,978.81 and 658,327.63

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Solution

The fourth proportional to 1,202,158.59, 1,658,978.81 and 658,327.63 is: 908,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,158.59 : 1,658,978.81 = 658,327.63 : x
  2. Step 2: Convert to fraction form
    1,202,158.59/1,658,978.81 = 658,327.63/x
  3. Step 3: Cross multiply
    1,202,158.59x = 1,658,978.81 × 658,327.63
  4. Step 4: Simplify right side
    1,202,158.59x = 1,092,151,579,912.63
  5. Step 5: Solve for x
    x = 1,092,151,579,912.63/1,202,158.59
  6. Step 6: Final answer
    x = 908,492.10

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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.