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Finding the Fourth Proportional to 617,903.40, 927,114.30 and 461,489.16

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Solution

The fourth proportional to 617,903.40, 927,114.30 and 461,489.16 is: 692,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,903.40 : 927,114.30 = 461,489.16 : x
  2. Step 2: Convert to fraction form
    617,903.40/927,114.30 = 461,489.16/x
  3. Step 3: Cross multiply
    617,903.40x = 927,114.30 × 461,489.16
  4. Step 4: Simplify right side
    617,903.40x = 427,853,199,530.99
  5. Step 5: Solve for x
    x = 427,853,199,530.99/617,903.40
  6. Step 6: Final answer
    x = 692,427.33

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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.