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Finding the Fourth Proportional to 650,491.40, 975,737.10 and 493,027.40

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Solution

The fourth proportional to 650,491.40, 975,737.10 and 493,027.40 is: 739,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,491.40 : 975,737.10 = 493,027.40 : x
  2. Step 2: Convert to fraction form
    650,491.40/975,737.10 = 493,027.40/x
  3. Step 3: Cross multiply
    650,491.40x = 975,737.10 × 493,027.40
  4. Step 4: Simplify right side
    650,491.40x = 481,065,125,496.54
  5. Step 5: Solve for x
    x = 481,065,125,496.54/650,491.40
  6. Step 6: Final answer
    x = 739,541.10

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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.