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Finding the Fourth Proportional to 490,464.40, 735,523.80 and 174,931.60

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Solution

The fourth proportional to 490,464.40, 735,523.80 and 174,931.60 is: 262,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,464.40 : 735,523.80 = 174,931.60 : x
  2. Step 2: Convert to fraction form
    490,464.40/735,523.80 = 174,931.60/x
  3. Step 3: Cross multiply
    490,464.40x = 735,523.80 × 174,931.60
  4. Step 4: Simplify right side
    490,464.40x = 128,666,355,172.08
  5. Step 5: Solve for x
    x = 128,666,355,172.08/490,464.40
  6. Step 6: Final answer
    x = 262,335.77

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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.