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Finding the Fourth Proportional to 411,954.40, 617,931.60 and 202,002.40

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Solution

The fourth proportional to 411,954.40, 617,931.60 and 202,002.40 is: 303,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.40 : 617,931.60 = 202,002.40 : x
  2. Step 2: Convert to fraction form
    411,954.40/617,931.60 = 202,002.40/x
  3. Step 3: Cross multiply
    411,954.40x = 617,931.60 × 202,002.40
  4. Step 4: Simplify right side
    411,954.40x = 124,823,666,235.84
  5. Step 5: Solve for x
    x = 124,823,666,235.84/411,954.40
  6. Step 6: Final answer
    x = 303,003.60

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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.