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Finding the Fourth Proportional to 293,893.14, 405,501.57 and 186,424.14

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Solution

The fourth proportional to 293,893.14, 405,501.57 and 186,424.14 is: 257,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,893.14 : 405,501.57 = 186,424.14 : x
  2. Step 2: Convert to fraction form
    293,893.14/405,501.57 = 186,424.14/x
  3. Step 3: Cross multiply
    293,893.14x = 405,501.57 × 186,424.14
  4. Step 4: Simplify right side
    293,893.14x = 75,595,281,455.90
  5. Step 5: Solve for x
    x = 75,595,281,455.90/293,893.14
  6. Step 6: Final answer
    x = 257,220.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.