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Finding the Fourth Proportional to 284,343.40, 426,399.90 and 97,258.60

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Solution

The fourth proportional to 284,343.40, 426,399.90 and 97,258.60 is: 145,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,343.40 : 426,399.90 = 97,258.60 : x
  2. Step 2: Convert to fraction form
    284,343.40/426,399.90 = 97,258.60/x
  3. Step 3: Cross multiply
    284,343.40x = 426,399.90 × 97,258.60
  4. Step 4: Simplify right side
    284,343.40x = 41,471,057,314.14
  5. Step 5: Solve for x
    x = 41,471,057,314.14/284,343.40
  6. Step 6: Final answer
    x = 145,848.50

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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.