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Finding the Fourth Proportional to 293,274.96, 439,824.48 and 152,957.04

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Solution

The fourth proportional to 293,274.96, 439,824.48 and 152,957.04 is: 229,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,274.96 : 439,824.48 = 152,957.04 : x
  2. Step 2: Convert to fraction form
    293,274.96/439,824.48 = 152,957.04/x
  3. Step 3: Cross multiply
    293,274.96x = 439,824.48 × 152,957.04
  4. Step 4: Simplify right side
    293,274.96x = 67,274,250,580.34
  5. Step 5: Solve for x
    x = 67,274,250,580.34/293,274.96
  6. Step 6: Final answer
    x = 229,389.68

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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.