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Finding the Fourth Proportional to 296,645.76, 409,501.44 and 189,355.68

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Solution

The fourth proportional to 296,645.76, 409,501.44 and 189,355.68 is: 261,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,645.76 : 409,501.44 = 189,355.68 : x
  2. Step 2: Convert to fraction form
    296,645.76/409,501.44 = 189,355.68/x
  3. Step 3: Cross multiply
    296,645.76x = 409,501.44 × 189,355.68
  4. Step 4: Simplify right side
    296,645.76x = 77,541,423,632.18
  5. Step 5: Solve for x
    x = 77,541,423,632.18/296,645.76
  6. Step 6: Final answer
    x = 261,394.01

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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.