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Finding the Fourth Proportional to 296,389.48, 409,056.42 and 169,035.88

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Solution

The fourth proportional to 296,389.48, 409,056.42 and 169,035.88 is: 233,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,389.48 : 409,056.42 = 169,035.88 : x
  2. Step 2: Convert to fraction form
    296,389.48/409,056.42 = 169,035.88/x
  3. Step 3: Cross multiply
    296,389.48x = 409,056.42 × 169,035.88
  4. Step 4: Simplify right side
    296,389.48x = 69,145,211,924.35
  5. Step 5: Solve for x
    x = 69,145,211,924.35/296,389.48
  6. Step 6: Final answer
    x = 233,291.72

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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.