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Finding the Fourth Proportional to 348,735, 523,107.36 and 99,417

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Solution

The fourth proportional to 348,735, 523,107.36 and 99,417 is: 149,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,735 : 523,107.36 = 99,417 : x
  2. Step 2: Convert to fraction form
    348,735/523,107.36 = 99,417/x
  3. Step 3: Cross multiply
    348,735x = 523,107.36 × 99,417
  4. Step 4: Simplify right side
    348,735x = 52,005,764,409.12
  5. Step 5: Solve for x
    x = 52,005,764,409.12/348,735
  6. Step 6: Final answer
    x = 149,126.89

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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.