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Finding the Fourth Proportional to 328,298.40, 492,447.60 and 91,640.70

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Solution

The fourth proportional to 328,298.40, 492,447.60 and 91,640.70 is: 137,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,298.40 : 492,447.60 = 91,640.70 : x
  2. Step 2: Convert to fraction form
    328,298.40/492,447.60 = 91,640.70/x
  3. Step 3: Cross multiply
    328,298.40x = 492,447.60 × 91,640.70
  4. Step 4: Simplify right side
    328,298.40x = 45,128,242,777.32
  5. Step 5: Solve for x
    x = 45,128,242,777.32/328,298.40
  6. Step 6: Final answer
    x = 137,461.05

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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.